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Simplifying -3p + -5(6 + -2p) = 5(p + -3) + -5 -3p + (6 * -5 + -2p * -5) = 5(p + -3) + -5 -3p + (-30 + 10p) = 5(p + -3) + -5 Reorder the terms: -30 + -3p + 10p = 5(p + -3) + -5 Combine like terms: -3p + 10p = 7p -30 + 7p = 5(p + -3) + -5 Reorder the terms: -30 + 7p = 5(-3 + p) + -5 -30 + 7p = (-3 * 5 + p * 5) + -5 -30 + 7p = (-15 + 5p) + -5 Reorder the terms: -30 + 7p = -15 + -5 + 5p Combine like terms: -15 + -5 = -20 -30 + 7p = -20 + 5p Solving -30 + 7p = -20 + 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. -30 + 7p + -5p = -20 + 5p + -5p Combine like terms: 7p + -5p = 2p -30 + 2p = -20 + 5p + -5p Combine like terms: 5p + -5p = 0 -30 + 2p = -20 + 0 -30 + 2p = -20 Add '30' to each side of the equation. -30 + 30 + 2p = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -20 + 30 2p = -20 + 30 Combine like terms: -20 + 30 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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