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Simplifying -5(2p + 3) + -5 = 2(3p + 6) Reorder the terms: -5(3 + 2p) + -5 = 2(3p + 6) (3 * -5 + 2p * -5) + -5 = 2(3p + 6) (-15 + -10p) + -5 = 2(3p + 6) Reorder the terms: -15 + -5 + -10p = 2(3p + 6) Combine like terms: -15 + -5 = -20 -20 + -10p = 2(3p + 6) Reorder the terms: -20 + -10p = 2(6 + 3p) -20 + -10p = (6 * 2 + 3p * 2) -20 + -10p = (12 + 6p) Solving -20 + -10p = 12 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -20 + -10p + -6p = 12 + 6p + -6p Combine like terms: -10p + -6p = -16p -20 + -16p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + -16p = 12 + 0 -20 + -16p = 12 Add '20' to each side of the equation. -20 + 20 + -16p = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -16p = 12 + 20 -16p = 12 + 20 Combine like terms: 12 + 20 = 32 -16p = 32 Divide each side by '-16'. p = -2 Simplifying p = -2
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