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Simplifying -3p + -2(2 + -5p) = 2(p + -2) + -15 -3p + (2 * -2 + -5p * -2) = 2(p + -2) + -15 -3p + (-4 + 10p) = 2(p + -2) + -15 Reorder the terms: -4 + -3p + 10p = 2(p + -2) + -15 Combine like terms: -3p + 10p = 7p -4 + 7p = 2(p + -2) + -15 Reorder the terms: -4 + 7p = 2(-2 + p) + -15 -4 + 7p = (-2 * 2 + p * 2) + -15 -4 + 7p = (-4 + 2p) + -15 Reorder the terms: -4 + 7p = -4 + -15 + 2p Combine like terms: -4 + -15 = -19 -4 + 7p = -19 + 2p Solving -4 + 7p = -19 + 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. -4 + 7p + -2p = -19 + 2p + -2p Combine like terms: 7p + -2p = 5p -4 + 5p = -19 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 5p = -19 + 0 -4 + 5p = -19 Add '4' to each side of the equation. -4 + 4 + 5p = -19 + 4 Combine like terms: -4 + 4 = 0 0 + 5p = -19 + 4 5p = -19 + 4 Combine like terms: -19 + 4 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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