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Simplifying -3p + -5(4 + -2p) = 2(p + -4) + -7 -3p + (4 * -5 + -2p * -5) = 2(p + -4) + -7 -3p + (-20 + 10p) = 2(p + -4) + -7 Reorder the terms: -20 + -3p + 10p = 2(p + -4) + -7 Combine like terms: -3p + 10p = 7p -20 + 7p = 2(p + -4) + -7 Reorder the terms: -20 + 7p = 2(-4 + p) + -7 -20 + 7p = (-4 * 2 + p * 2) + -7 -20 + 7p = (-8 + 2p) + -7 Reorder the terms: -20 + 7p = -8 + -7 + 2p Combine like terms: -8 + -7 = -15 -20 + 7p = -15 + 2p Solving -20 + 7p = -15 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -20 + 7p + -2p = -15 + 2p + -2p Combine like terms: 7p + -2p = 5p -20 + 5p = -15 + 2p + -2p Combine like terms: 2p + -2p = 0 -20 + 5p = -15 + 0 -20 + 5p = -15 Add '20' to each side of the equation. -20 + 20 + 5p = -15 + 20 Combine like terms: -20 + 20 = 0 0 + 5p = -15 + 20 5p = -15 + 20 Combine like terms: -15 + 20 = 5 5p = 5 Divide each side by '5'. p = 1 Simplifying p = 1
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