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Simplifying p + -1(p + 15) = 6(p + -4) + 3p Reorder the terms: p + -1(15 + p) = 6(p + -4) + 3p p + (15 * -1 + p * -1) = 6(p + -4) + 3p p + (-15 + -1p) = 6(p + -4) + 3p Reorder the terms: -15 + p + -1p = 6(p + -4) + 3p Combine like terms: p + -1p = 0 -15 + 0 = 6(p + -4) + 3p -15 = 6(p + -4) + 3p Reorder the terms: -15 = 6(-4 + p) + 3p -15 = (-4 * 6 + p * 6) + 3p -15 = (-24 + 6p) + 3p Combine like terms: 6p + 3p = 9p -15 = -24 + 9p Solving -15 = -24 + 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. -15 + -9p = -24 + 9p + -9p Combine like terms: 9p + -9p = 0 -15 + -9p = -24 + 0 -15 + -9p = -24 Add '15' to each side of the equation. -15 + 15 + -9p = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -9p = -24 + 15 -9p = -24 + 15 Combine like terms: -24 + 15 = -9 -9p = -9 Divide each side by '-9'. p = 1 Simplifying p = 1
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