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Simplifying (8p + -15) + -1(7p + -12) = 0 Reorder the terms: (-15 + 8p) + -1(7p + -12) = 0 Remove parenthesis around (-15 + 8p) -15 + 8p + -1(7p + -12) = 0 Reorder the terms: -15 + 8p + -1(-12 + 7p) = 0 -15 + 8p + (-12 * -1 + 7p * -1) = 0 -15 + 8p + (12 + -7p) = 0 Reorder the terms: -15 + 12 + 8p + -7p = 0 Combine like terms: -15 + 12 = -3 -3 + 8p + -7p = 0 Combine like terms: 8p + -7p = 1p -3 + 1p = 0 Solving -3 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1p = 0 + 3 1p = 0 + 3 Combine like terms: 0 + 3 = 3 1p = 3 Divide each side by '1'. p = 3 Simplifying p = 3
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