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Simplifying 7(p + -1) + 3p = -1(-9p + 12) Reorder the terms: 7(-1 + p) + 3p = -1(-9p + 12) (-1 * 7 + p * 7) + 3p = -1(-9p + 12) (-7 + 7p) + 3p = -1(-9p + 12) Combine like terms: 7p + 3p = 10p -7 + 10p = -1(-9p + 12) Reorder the terms: -7 + 10p = -1(12 + -9p) -7 + 10p = (12 * -1 + -9p * -1) -7 + 10p = (-12 + 9p) Solving -7 + 10p = -12 + 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. -7 + 10p + -9p = -12 + 9p + -9p Combine like terms: 10p + -9p = 1p -7 + 1p = -12 + 9p + -9p Combine like terms: 9p + -9p = 0 -7 + 1p = -12 + 0 -7 + 1p = -12 Add '7' to each side of the equation. -7 + 7 + 1p = -12 + 7 Combine like terms: -7 + 7 = 0 0 + 1p = -12 + 7 1p = -12 + 7 Combine like terms: -12 + 7 = -5 1p = -5 Divide each side by '1'. p = -5 Simplifying p = -5
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