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Simplifying -3(7p + 3) + -2(1 + -14p) = 3(1 + 2p) Reorder the terms: -3(3 + 7p) + -2(1 + -14p) = 3(1 + 2p) (3 * -3 + 7p * -3) + -2(1 + -14p) = 3(1 + 2p) (-9 + -21p) + -2(1 + -14p) = 3(1 + 2p) -9 + -21p + (1 * -2 + -14p * -2) = 3(1 + 2p) -9 + -21p + (-2 + 28p) = 3(1 + 2p) Reorder the terms: -9 + -2 + -21p + 28p = 3(1 + 2p) Combine like terms: -9 + -2 = -11 -11 + -21p + 28p = 3(1 + 2p) Combine like terms: -21p + 28p = 7p -11 + 7p = 3(1 + 2p) -11 + 7p = (1 * 3 + 2p * 3) -11 + 7p = (3 + 6p) Solving -11 + 7p = 3 + 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. -11 + 7p + -6p = 3 + 6p + -6p Combine like terms: 7p + -6p = 1p -11 + 1p = 3 + 6p + -6p Combine like terms: 6p + -6p = 0 -11 + 1p = 3 + 0 -11 + 1p = 3 Add '11' to each side of the equation. -11 + 11 + 1p = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 1p = 3 + 11 1p = 3 + 11 Combine like terms: 3 + 11 = 14 1p = 14 Divide each side by '1'. p = 14 Simplifying p = 14
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