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Simplifying p + -1(p + 14) = 6(p + -5) + 2p Reorder the terms: p + -1(14 + p) = 6(p + -5) + 2p p + (14 * -1 + p * -1) = 6(p + -5) + 2p p + (-14 + -1p) = 6(p + -5) + 2p Reorder the terms: -14 + p + -1p = 6(p + -5) + 2p Combine like terms: p + -1p = 0 -14 + 0 = 6(p + -5) + 2p -14 = 6(p + -5) + 2p Reorder the terms: -14 = 6(-5 + p) + 2p -14 = (-5 * 6 + p * 6) + 2p -14 = (-30 + 6p) + 2p Combine like terms: 6p + 2p = 8p -14 = -30 + 8p Solving -14 = -30 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -14 + -8p = -30 + 8p + -8p Combine like terms: 8p + -8p = 0 -14 + -8p = -30 + 0 -14 + -8p = -30 Add '14' to each side of the equation. -14 + 14 + -8p = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -8p = -30 + 14 -8p = -30 + 14 Combine like terms: -30 + 14 = -16 -8p = -16 Divide each side by '-8'. p = 2 Simplifying p = 2
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