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Simplifying -3p + -3 = 8(8p + 9) + 7(9 + -10p) Reorder the terms: -3 + -3p = 8(8p + 9) + 7(9 + -10p) Reorder the terms: -3 + -3p = 8(9 + 8p) + 7(9 + -10p) -3 + -3p = (9 * 8 + 8p * 8) + 7(9 + -10p) -3 + -3p = (72 + 64p) + 7(9 + -10p) -3 + -3p = 72 + 64p + (9 * 7 + -10p * 7) -3 + -3p = 72 + 64p + (63 + -70p) Reorder the terms: -3 + -3p = 72 + 63 + 64p + -70p Combine like terms: 72 + 63 = 135 -3 + -3p = 135 + 64p + -70p Combine like terms: 64p + -70p = -6p -3 + -3p = 135 + -6p Solving -3 + -3p = 135 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -3 + -3p + 6p = 135 + -6p + 6p Combine like terms: -3p + 6p = 3p -3 + 3p = 135 + -6p + 6p Combine like terms: -6p + 6p = 0 -3 + 3p = 135 + 0 -3 + 3p = 135 Add '3' to each side of the equation. -3 + 3 + 3p = 135 + 3 Combine like terms: -3 + 3 = 0 0 + 3p = 135 + 3 3p = 135 + 3 Combine like terms: 135 + 3 = 138 3p = 138 Divide each side by '3'. p = 46 Simplifying p = 46
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