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Simplifying p + -1(p + 8) = 7(p + -4) + 3p Reorder the terms: p + -1(8 + p) = 7(p + -4) + 3p p + (8 * -1 + p * -1) = 7(p + -4) + 3p p + (-8 + -1p) = 7(p + -4) + 3p Reorder the terms: -8 + p + -1p = 7(p + -4) + 3p Combine like terms: p + -1p = 0 -8 + 0 = 7(p + -4) + 3p -8 = 7(p + -4) + 3p Reorder the terms: -8 = 7(-4 + p) + 3p -8 = (-4 * 7 + p * 7) + 3p -8 = (-28 + 7p) + 3p Combine like terms: 7p + 3p = 10p -8 = -28 + 10p Solving -8 = -28 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -8 + -10p = -28 + 10p + -10p Combine like terms: 10p + -10p = 0 -8 + -10p = -28 + 0 -8 + -10p = -28 Add '8' to each side of the equation. -8 + 8 + -10p = -28 + 8 Combine like terms: -8 + 8 = 0 0 + -10p = -28 + 8 -10p = -28 + 8 Combine like terms: -28 + 8 = -20 -10p = -20 Divide each side by '-10'. p = 2 Simplifying p = 2
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