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Simplifying 6p + -4(30 + -2p) = 5(p + -4) + -10 6p + (30 * -4 + -2p * -4) = 5(p + -4) + -10 6p + (-120 + 8p) = 5(p + -4) + -10 Reorder the terms: -120 + 6p + 8p = 5(p + -4) + -10 Combine like terms: 6p + 8p = 14p -120 + 14p = 5(p + -4) + -10 Reorder the terms: -120 + 14p = 5(-4 + p) + -10 -120 + 14p = (-4 * 5 + p * 5) + -10 -120 + 14p = (-20 + 5p) + -10 Reorder the terms: -120 + 14p = -20 + -10 + 5p Combine like terms: -20 + -10 = -30 -120 + 14p = -30 + 5p Solving -120 + 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. -120 + 14p + -5p = -30 + 5p + -5p Combine like terms: 14p + -5p = 9p -120 + 9p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -120 + 9p = -30 + 0 -120 + 9p = -30 Add '120' to each side of the equation. -120 + 120 + 9p = -30 + 120 Combine like terms: -120 + 120 = 0 0 + 9p = -30 + 120 9p = -30 + 120 Combine like terms: -30 + 120 = 90 9p = 90 Divide each side by '9'. p = 10 Simplifying p = 10
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