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Simplifying p + -1(p + 10) = 5(p + -4) + 5p Reorder the terms: p + -1(10 + p) = 5(p + -4) + 5p p + (10 * -1 + p * -1) = 5(p + -4) + 5p p + (-10 + -1p) = 5(p + -4) + 5p Reorder the terms: -10 + p + -1p = 5(p + -4) + 5p Combine like terms: p + -1p = 0 -10 + 0 = 5(p + -4) + 5p -10 = 5(p + -4) + 5p Reorder the terms: -10 = 5(-4 + p) + 5p -10 = (-4 * 5 + p * 5) + 5p -10 = (-20 + 5p) + 5p Combine like terms: 5p + 5p = 10p -10 = -20 + 10p Solving -10 = -20 + 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. -10 + -10p = -20 + 10p + -10p Combine like terms: 10p + -10p = 0 -10 + -10p = -20 + 0 -10 + -10p = -20 Add '10' to each side of the equation. -10 + 10 + -10p = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -10p = -20 + 10 -10p = -20 + 10 Combine like terms: -20 + 10 = -10 -10p = -10 Divide each side by '-10'. p = 1 Simplifying p = 1
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