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Simplifying -3(7p + 4) + -2(6 + -14p) = 3(7 + 2p) Reorder the terms: -3(4 + 7p) + -2(6 + -14p) = 3(7 + 2p) (4 * -3 + 7p * -3) + -2(6 + -14p) = 3(7 + 2p) (-12 + -21p) + -2(6 + -14p) = 3(7 + 2p) -12 + -21p + (6 * -2 + -14p * -2) = 3(7 + 2p) -12 + -21p + (-12 + 28p) = 3(7 + 2p) Reorder the terms: -12 + -12 + -21p + 28p = 3(7 + 2p) Combine like terms: -12 + -12 = -24 -24 + -21p + 28p = 3(7 + 2p) Combine like terms: -21p + 28p = 7p -24 + 7p = 3(7 + 2p) -24 + 7p = (7 * 3 + 2p * 3) -24 + 7p = (21 + 6p) Solving -24 + 7p = 21 + 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. -24 + 7p + -6p = 21 + 6p + -6p Combine like terms: 7p + -6p = 1p -24 + 1p = 21 + 6p + -6p Combine like terms: 6p + -6p = 0 -24 + 1p = 21 + 0 -24 + 1p = 21 Add '24' to each side of the equation. -24 + 24 + 1p = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 1p = 21 + 24 1p = 21 + 24 Combine like terms: 21 + 24 = 45 1p = 45 Divide each side by '1'. p = 45 Simplifying p = 45
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