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Simplifying -5p + 3 = 8(-9p + 2) + 9(7 + 7p) Reorder the terms: 3 + -5p = 8(-9p + 2) + 9(7 + 7p) Reorder the terms: 3 + -5p = 8(2 + -9p) + 9(7 + 7p) 3 + -5p = (2 * 8 + -9p * 8) + 9(7 + 7p) 3 + -5p = (16 + -72p) + 9(7 + 7p) 3 + -5p = 16 + -72p + (7 * 9 + 7p * 9) 3 + -5p = 16 + -72p + (63 + 63p) Reorder the terms: 3 + -5p = 16 + 63 + -72p + 63p Combine like terms: 16 + 63 = 79 3 + -5p = 79 + -72p + 63p Combine like terms: -72p + 63p = -9p 3 + -5p = 79 + -9p Solving 3 + -5p = 79 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 3 + -5p + 9p = 79 + -9p + 9p Combine like terms: -5p + 9p = 4p 3 + 4p = 79 + -9p + 9p Combine like terms: -9p + 9p = 0 3 + 4p = 79 + 0 3 + 4p = 79 Add '-3' to each side of the equation. 3 + -3 + 4p = 79 + -3 Combine like terms: 3 + -3 = 0 0 + 4p = 79 + -3 4p = 79 + -3 Combine like terms: 79 + -3 = 76 4p = 76 Divide each side by '4'. p = 19 Simplifying p = 19
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