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Simplifying p + -1(p + 12) = 6(p + -5) + 3p Reorder the terms: p + -1(12 + p) = 6(p + -5) + 3p p + (12 * -1 + p * -1) = 6(p + -5) + 3p p + (-12 + -1p) = 6(p + -5) + 3p Reorder the terms: -12 + p + -1p = 6(p + -5) + 3p Combine like terms: p + -1p = 0 -12 + 0 = 6(p + -5) + 3p -12 = 6(p + -5) + 3p Reorder the terms: -12 = 6(-5 + p) + 3p -12 = (-5 * 6 + p * 6) + 3p -12 = (-30 + 6p) + 3p Combine like terms: 6p + 3p = 9p -12 = -30 + 9p Solving -12 = -30 + 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. -12 + -9p = -30 + 9p + -9p Combine like terms: 9p + -9p = 0 -12 + -9p = -30 + 0 -12 + -9p = -30 Add '12' to each side of the equation. -12 + 12 + -9p = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -9p = -30 + 12 -9p = -30 + 12 Combine like terms: -30 + 12 = -18 -9p = -18 Divide each side by '-9'. p = 2 Simplifying p = 2
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