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Simplifying p + -1(p + 15) = 7(p + -5) + 3p Reorder the terms: p + -1(15 + p) = 7(p + -5) + 3p p + (15 * -1 + p * -1) = 7(p + -5) + 3p p + (-15 + -1p) = 7(p + -5) + 3p Reorder the terms: -15 + p + -1p = 7(p + -5) + 3p Combine like terms: p + -1p = 0 -15 + 0 = 7(p + -5) + 3p -15 = 7(p + -5) + 3p Reorder the terms: -15 = 7(-5 + p) + 3p -15 = (-5 * 7 + p * 7) + 3p -15 = (-35 + 7p) + 3p Combine like terms: 7p + 3p = 10p -15 = -35 + 10p Solving -15 = -35 + 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. -15 + -10p = -35 + 10p + -10p Combine like terms: 10p + -10p = 0 -15 + -10p = -35 + 0 -15 + -10p = -35 Add '15' to each side of the equation. -15 + 15 + -10p = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -10p = -35 + 15 -10p = -35 + 15 Combine like terms: -35 + 15 = -20 -10p = -20 Divide each side by '-10'. p = 2 Simplifying p = 2
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