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Simplifying -5(1p + 2) = 2(2p + -15) + 1p Reorder the terms: -5(2 + 1p) = 2(2p + -15) + 1p (2 * -5 + 1p * -5) = 2(2p + -15) + 1p (-10 + -5p) = 2(2p + -15) + 1p Reorder the terms: -10 + -5p = 2(-15 + 2p) + 1p -10 + -5p = (-15 * 2 + 2p * 2) + 1p -10 + -5p = (-30 + 4p) + 1p Combine like terms: 4p + 1p = 5p -10 + -5p = -30 + 5p Solving -10 + -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. -10 + -5p + -5p = -30 + 5p + -5p Combine like terms: -5p + -5p = -10p -10 + -10p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -10 + -10p = -30 + 0 -10 + -10p = -30 Add '10' to each side of the equation. -10 + 10 + -10p = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -10p = -30 + 10 -10p = -30 + 10 Combine like terms: -30 + 10 = -20 -10p = -20 Divide each side by '-10'. p = 2 Simplifying p = 2
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