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Simplifying 7(7p + -1) + -12 = 9(5p + -3) + 8 Reorder the terms: 7(-1 + 7p) + -12 = 9(5p + -3) + 8 (-1 * 7 + 7p * 7) + -12 = 9(5p + -3) + 8 (-7 + 49p) + -12 = 9(5p + -3) + 8 Reorder the terms: -7 + -12 + 49p = 9(5p + -3) + 8 Combine like terms: -7 + -12 = -19 -19 + 49p = 9(5p + -3) + 8 Reorder the terms: -19 + 49p = 9(-3 + 5p) + 8 -19 + 49p = (-3 * 9 + 5p * 9) + 8 -19 + 49p = (-27 + 45p) + 8 Reorder the terms: -19 + 49p = -27 + 8 + 45p Combine like terms: -27 + 8 = -19 -19 + 49p = -19 + 45p Add '19' to each side of the equation. -19 + 19 + 49p = -19 + 19 + 45p Combine like terms: -19 + 19 = 0 0 + 49p = -19 + 19 + 45p 49p = -19 + 19 + 45p Combine like terms: -19 + 19 = 0 49p = 0 + 45p 49p = 45p Solving 49p = 45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-45p' to each side of the equation. 49p + -45p = 45p + -45p Combine like terms: 49p + -45p = 4p 4p = 45p + -45p Combine like terms: 45p + -45p = 0 4p = 0 Divide each side by '4'. p = 0 Simplifying p = 0
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