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Simplifying 1.6p + -4(3 + -2p) = 5(p + -4) + -10 1.6p + (3 * -4 + -2p * -4) = 5(p + -4) + -10 1.6p + (-12 + 8p) = 5(p + -4) + -10 Reorder the terms: -12 + 1.6p + 8p = 5(p + -4) + -10 Combine like terms: 1.6p + 8p = 9.6p -12 + 9.6p = 5(p + -4) + -10 Reorder the terms: -12 + 9.6p = 5(-4 + p) + -10 -12 + 9.6p = (-4 * 5 + p * 5) + -10 -12 + 9.6p = (-20 + 5p) + -10 Reorder the terms: -12 + 9.6p = -20 + -10 + 5p Combine like terms: -20 + -10 = -30 -12 + 9.6p = -30 + 5p Solving -12 + 9.6p = -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 + 9.6p + -5p = -30 + 5p + -5p Combine like terms: 9.6p + -5p = 4.6p -12 + 4.6p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 4.6p = -30 + 0 -12 + 4.6p = -30 Add '12' to each side of the equation. -12 + 12 + 4.6p = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 4.6p = -30 + 12 4.6p = -30 + 12 Combine like terms: -30 + 12 = -18 4.6p = -18 Divide each side by '4.6'. p = -3.913043478 Simplifying p = -3.913043478
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