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Simplifying -15p + -4(2 + -5p) = 3(p + -2) + -14 -15p + (2 * -4 + -5p * -4) = 3(p + -2) + -14 -15p + (-8 + 20p) = 3(p + -2) + -14 Reorder the terms: -8 + -15p + 20p = 3(p + -2) + -14 Combine like terms: -15p + 20p = 5p -8 + 5p = 3(p + -2) + -14 Reorder the terms: -8 + 5p = 3(-2 + p) + -14 -8 + 5p = (-2 * 3 + p * 3) + -14 -8 + 5p = (-6 + 3p) + -14 Reorder the terms: -8 + 5p = -6 + -14 + 3p Combine like terms: -6 + -14 = -20 -8 + 5p = -20 + 3p Solving -8 + 5p = -20 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -8 + 5p + -3p = -20 + 3p + -3p Combine like terms: 5p + -3p = 2p -8 + 2p = -20 + 3p + -3p Combine like terms: 3p + -3p = 0 -8 + 2p = -20 + 0 -8 + 2p = -20 Add '8' to each side of the equation. -8 + 8 + 2p = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -20 + 8 2p = -20 + 8 Combine like terms: -20 + 8 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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