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Simplifying 3(2p + -6) = 2(p + 5) Reorder the terms: 3(-6 + 2p) = 2(p + 5) (-6 * 3 + 2p * 3) = 2(p + 5) (-18 + 6p) = 2(p + 5) Reorder the terms: -18 + 6p = 2(5 + p) -18 + 6p = (5 * 2 + p * 2) -18 + 6p = (10 + 2p) Solving -18 + 6p = 10 + 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. -18 + 6p + -2p = 10 + 2p + -2p Combine like terms: 6p + -2p = 4p -18 + 4p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + 4p = 10 + 0 -18 + 4p = 10 Add '18' to each side of the equation. -18 + 18 + 4p = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 4p = 10 + 18 4p = 10 + 18 Combine like terms: 10 + 18 = 28 4p = 28 Divide each side by '4'. p = 7 Simplifying p = 7
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