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Simplifying 4p + 5 = -8(-4p + 9) + -9(6 + 3p) Reorder the terms: 5 + 4p = -8(-4p + 9) + -9(6 + 3p) Reorder the terms: 5 + 4p = -8(9 + -4p) + -9(6 + 3p) 5 + 4p = (9 * -8 + -4p * -8) + -9(6 + 3p) 5 + 4p = (-72 + 32p) + -9(6 + 3p) 5 + 4p = -72 + 32p + (6 * -9 + 3p * -9) 5 + 4p = -72 + 32p + (-54 + -27p) Reorder the terms: 5 + 4p = -72 + -54 + 32p + -27p Combine like terms: -72 + -54 = -126 5 + 4p = -126 + 32p + -27p Combine like terms: 32p + -27p = 5p 5 + 4p = -126 + 5p Solving 5 + 4p = -126 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 5 + 4p + -5p = -126 + 5p + -5p Combine like terms: 4p + -5p = -1p 5 + -1p = -126 + 5p + -5p Combine like terms: 5p + -5p = 0 5 + -1p = -126 + 0 5 + -1p = -126 Add '-5' to each side of the equation. 5 + -5 + -1p = -126 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = -126 + -5 -1p = -126 + -5 Combine like terms: -126 + -5 = -131 -1p = -131 Divide each side by '-1'. p = 131 Simplifying p = 131
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