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Simplifying -5p + -3(6 + -5p) = 5(p + -4) + -28 -5p + (6 * -3 + -5p * -3) = 5(p + -4) + -28 -5p + (-18 + 15p) = 5(p + -4) + -28 Reorder the terms: -18 + -5p + 15p = 5(p + -4) + -28 Combine like terms: -5p + 15p = 10p -18 + 10p = 5(p + -4) + -28 Reorder the terms: -18 + 10p = 5(-4 + p) + -28 -18 + 10p = (-4 * 5 + p * 5) + -28 -18 + 10p = (-20 + 5p) + -28 Reorder the terms: -18 + 10p = -20 + -28 + 5p Combine like terms: -20 + -28 = -48 -18 + 10p = -48 + 5p Solving -18 + 10p = -48 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -18 + 10p + -5p = -48 + 5p + -5p Combine like terms: 10p + -5p = 5p -18 + 5p = -48 + 5p + -5p Combine like terms: 5p + -5p = 0 -18 + 5p = -48 + 0 -18 + 5p = -48 Add '18' to each side of the equation. -18 + 18 + 5p = -48 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -48 + 18 5p = -48 + 18 Combine like terms: -48 + 18 = -30 5p = -30 Divide each side by '5'. p = -6 Simplifying p = -6
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