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Simplifying -14p + -3(3 + -6p) = 2(p + -5) + -5 -14p + (3 * -3 + -6p * -3) = 2(p + -5) + -5 -14p + (-9 + 18p) = 2(p + -5) + -5 Reorder the terms: -9 + -14p + 18p = 2(p + -5) + -5 Combine like terms: -14p + 18p = 4p -9 + 4p = 2(p + -5) + -5 Reorder the terms: -9 + 4p = 2(-5 + p) + -5 -9 + 4p = (-5 * 2 + p * 2) + -5 -9 + 4p = (-10 + 2p) + -5 Reorder the terms: -9 + 4p = -10 + -5 + 2p Combine like terms: -10 + -5 = -15 -9 + 4p = -15 + 2p Solving -9 + 4p = -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. -9 + 4p + -2p = -15 + 2p + -2p Combine like terms: 4p + -2p = 2p -9 + 2p = -15 + 2p + -2p Combine like terms: 2p + -2p = 0 -9 + 2p = -15 + 0 -9 + 2p = -15 Add '9' to each side of the equation. -9 + 9 + 2p = -15 + 9 Combine like terms: -9 + 9 = 0 0 + 2p = -15 + 9 2p = -15 + 9 Combine like terms: -15 + 9 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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