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Simplifying 5 + 3(2p + -3) = 2(p + 7) + -14 Reorder the terms: 5 + 3(-3 + 2p) = 2(p + 7) + -14 5 + (-3 * 3 + 2p * 3) = 2(p + 7) + -14 5 + (-9 + 6p) = 2(p + 7) + -14 Combine like terms: 5 + -9 = -4 -4 + 6p = 2(p + 7) + -14 Reorder the terms: -4 + 6p = 2(7 + p) + -14 -4 + 6p = (7 * 2 + p * 2) + -14 -4 + 6p = (14 + 2p) + -14 Reorder the terms: -4 + 6p = 14 + -14 + 2p Combine like terms: 14 + -14 = 0 -4 + 6p = 0 + 2p -4 + 6p = 2p Solving -4 + 6p = 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -4 + 6p + -2p = 2p + -2p Combine like terms: 6p + -2p = 4p -4 + 4p = 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 4p = 0 Add '4' to each side of the equation. -4 + 4 + 4p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = 0 + 4 4p = 0 + 4 Combine like terms: 0 + 4 = 4 4p = 4 Divide each side by '4'. p = 1 Simplifying p = 1
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