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Simplifying 6p + -4(3 + -2p) = 5(p + -4) + -10 6p + (3 * -4 + -2p * -4) = 5(p + -4) + -10 6p + (-12 + 8p) = 5(p + -4) + -10 Reorder the terms: -12 + 6p + 8p = 5(p + -4) + -10 Combine like terms: 6p + 8p = 14p -12 + 14p = 5(p + -4) + -10 Reorder the terms: -12 + 14p = 5(-4 + p) + -10 -12 + 14p = (-4 * 5 + p * 5) + -10 -12 + 14p = (-20 + 5p) + -10 Reorder the terms: -12 + 14p = -20 + -10 + 5p Combine like terms: -20 + -10 = -30 -12 + 14p = -30 + 5p Solving -12 + 14p = -30 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 14p + -5p = -30 + 5p + -5p Combine like terms: 14p + -5p = 9p -12 + 9p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 9p = -30 + 0 -12 + 9p = -30 Add '12' to each side of the equation. -12 + 12 + 9p = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 9p = -30 + 12 9p = -30 + 12 Combine like terms: -30 + 12 = -18 9p = -18 Divide each side by '9'. p = -2 Simplifying p = -2
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