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Simplifying -5(p + 3) = 2(2p + -15) + p Reorder the terms: -5(3 + p) = 2(2p + -15) + p (3 * -5 + p * -5) = 2(2p + -15) + p (-15 + -5p) = 2(2p + -15) + p Reorder the terms: -15 + -5p = 2(-15 + 2p) + p -15 + -5p = (-15 * 2 + 2p * 2) + p -15 + -5p = (-30 + 4p) + p Combine like terms: 4p + p = 5p -15 + -5p = -30 + 5p Solving -15 + -5p = -30 + 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. -15 + -5p + -5p = -30 + 5p + -5p Combine like terms: -5p + -5p = -10p -15 + -10p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -15 + -10p = -30 + 0 -15 + -10p = -30 Add '15' to each side of the equation. -15 + 15 + -10p = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -10p = -30 + 15 -10p = -30 + 15 Combine like terms: -30 + 15 = -15 -10p = -15 Divide each side by '-10'. p = 1.5 Simplifying p = 1.5
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