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Simplifying -13p + -16p + -20 = -5(6p + 1) Reorder the terms: -20 + -13p + -16p = -5(6p + 1) Combine like terms: -13p + -16p = -29p -20 + -29p = -5(6p + 1) Reorder the terms: -20 + -29p = -5(1 + 6p) -20 + -29p = (1 * -5 + 6p * -5) -20 + -29p = (-5 + -30p) Solving -20 + -29p = -5 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. -20 + -29p + 30p = -5 + -30p + 30p Combine like terms: -29p + 30p = 1p -20 + 1p = -5 + -30p + 30p Combine like terms: -30p + 30p = 0 -20 + 1p = -5 + 0 -20 + 1p = -5 Add '20' to each side of the equation. -20 + 20 + 1p = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = -5 + 20 1p = -5 + 20 Combine like terms: -5 + 20 = 15 1p = 15 Divide each side by '1'. p = 15 Simplifying p = 15
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