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Simplifying -3(7p + 4) + -2(4 + -14p) = 3(4 + 2p) Reorder the terms: -3(4 + 7p) + -2(4 + -14p) = 3(4 + 2p) (4 * -3 + 7p * -3) + -2(4 + -14p) = 3(4 + 2p) (-12 + -21p) + -2(4 + -14p) = 3(4 + 2p) -12 + -21p + (4 * -2 + -14p * -2) = 3(4 + 2p) -12 + -21p + (-8 + 28p) = 3(4 + 2p) Reorder the terms: -12 + -8 + -21p + 28p = 3(4 + 2p) Combine like terms: -12 + -8 = -20 -20 + -21p + 28p = 3(4 + 2p) Combine like terms: -21p + 28p = 7p -20 + 7p = 3(4 + 2p) -20 + 7p = (4 * 3 + 2p * 3) -20 + 7p = (12 + 6p) Solving -20 + 7p = 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. -20 + 7p + -6p = 12 + 6p + -6p Combine like terms: 7p + -6p = 1p -20 + 1p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 1p = 12 + 0 -20 + 1p = 12 Add '20' to each side of the equation. -20 + 20 + 1p = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 1p = 12 + 20 1p = 12 + 20 Combine like terms: 12 + 20 = 32 1p = 32 Divide each side by '1'. p = 32 Simplifying p = 32
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