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Simplifying -3(p + 4) + -2(1 + -8p) = 3(4 + 2p) Reorder the terms: -3(4 + p) + -2(1 + -8p) = 3(4 + 2p) (4 * -3 + p * -3) + -2(1 + -8p) = 3(4 + 2p) (-12 + -3p) + -2(1 + -8p) = 3(4 + 2p) -12 + -3p + (1 * -2 + -8p * -2) = 3(4 + 2p) -12 + -3p + (-2 + 16p) = 3(4 + 2p) Reorder the terms: -12 + -2 + -3p + 16p = 3(4 + 2p) Combine like terms: -12 + -2 = -14 -14 + -3p + 16p = 3(4 + 2p) Combine like terms: -3p + 16p = 13p -14 + 13p = 3(4 + 2p) -14 + 13p = (4 * 3 + 2p * 3) -14 + 13p = (12 + 6p) Solving -14 + 13p = 12 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -14 + 13p + -6p = 12 + 6p + -6p Combine like terms: 13p + -6p = 7p -14 + 7p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -14 + 7p = 12 + 0 -14 + 7p = 12 Add '14' to each side of the equation. -14 + 14 + 7p = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 7p = 12 + 14 7p = 12 + 14 Combine like terms: 12 + 14 = 26 7p = 26 Divide each side by '7'. p = 3.714285714 Simplifying p = 3.714285714
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