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Simplifying -5(p + 4) + 6(p + 1) + -2 = 15 Reorder the terms: -5(4 + p) + 6(p + 1) + -2 = 15 (4 * -5 + p * -5) + 6(p + 1) + -2 = 15 (-20 + -5p) + 6(p + 1) + -2 = 15 Reorder the terms: -20 + -5p + 6(1 + p) + -2 = 15 -20 + -5p + (1 * 6 + p * 6) + -2 = 15 -20 + -5p + (6 + 6p) + -2 = 15 Reorder the terms: -20 + 6 + -2 + -5p + 6p = 15 Combine like terms: -20 + 6 = -14 -14 + -2 + -5p + 6p = 15 Combine like terms: -14 + -2 = -16 -16 + -5p + 6p = 15 Combine like terms: -5p + 6p = 1p -16 + 1p = 15 Solving -16 + 1p = 15 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1p = 15 + 16 Combine like terms: -16 + 16 = 0 0 + 1p = 15 + 16 1p = 15 + 16 Combine like terms: 15 + 16 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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