The missing statement and reason for the proof that the solution of 9(x - 6) + 41 = 75 is x = 88/9 are:
S3: 9x - 54 = 34
R1: Given
R2: Subtraction property of equality
R3: Distributive property
R4: Subtraction property of equality
R5: Division property of equality
The given equation is:
Statement1: 9(x - 6) + 41 = 75
Reason 1: Given
Collect like terms
9(x - 6) = 75 - 41
Statement 2: 9(x - 6) = 34
Reason 2: Subtraction property of equality
Expand the equation using distributive rule
Statement 3: 9x - 54 = 34
Reason 3: Distributive property
Collect like terms in the equation 9x - 54 = 34
9x = 34 + 54
Statement 4: 9x = 88
Reason 4: Subtraction property of equality
Divide both sides by 9 in the equation 9x = 88
Statement 5: x = 88/9
Reason 5: Division property of equality
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