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Simplifying -14p + -3(3 + -5p) = 3(p + -6) + -3 -14p + (3 * -3 + -5p * -3) = 3(p + -6) + -3 -14p + (-9 + 15p) = 3(p + -6) + -3 Reorder the terms: -9 + -14p + 15p = 3(p + -6) + -3 Combine like terms: -14p + 15p = 1p -9 + 1p = 3(p + -6) + -3 Reorder the terms: -9 + 1p = 3(-6 + p) + -3 -9 + 1p = (-6 * 3 + p * 3) + -3 -9 + 1p = (-18 + 3p) + -3 Reorder the terms: -9 + 1p = -18 + -3 + 3p Combine like terms: -18 + -3 = -21 -9 + 1p = -21 + 3p Solving -9 + 1p = -21 + 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. -9 + 1p + -3p = -21 + 3p + -3p Combine like terms: 1p + -3p = -2p -9 + -2p = -21 + 3p + -3p Combine like terms: 3p + -3p = 0 -9 + -2p = -21 + 0 -9 + -2p = -21 Add '9' to each side of the equation. -9 + 9 + -2p = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -2p = -21 + 9 -2p = -21 + 9 Combine like terms: -21 + 9 = -12 -2p = -12 Divide each side by '-2'. p = 6 Simplifying p = 6
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