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Simplifying 6(p + 2) + 3(4 + -1p) = 2(p + 6) + -10 Reorder the terms: 6(2 + p) + 3(4 + -1p) = 2(p + 6) + -10 (2 * 6 + p * 6) + 3(4 + -1p) = 2(p + 6) + -10 (12 + 6p) + 3(4 + -1p) = 2(p + 6) + -10 12 + 6p + (4 * 3 + -1p * 3) = 2(p + 6) + -10 12 + 6p + (12 + -3p) = 2(p + 6) + -10 Reorder the terms: 12 + 12 + 6p + -3p = 2(p + 6) + -10 Combine like terms: 12 + 12 = 24 24 + 6p + -3p = 2(p + 6) + -10 Combine like terms: 6p + -3p = 3p 24 + 3p = 2(p + 6) + -10 Reorder the terms: 24 + 3p = 2(6 + p) + -10 24 + 3p = (6 * 2 + p * 2) + -10 24 + 3p = (12 + 2p) + -10 Reorder the terms: 24 + 3p = 12 + -10 + 2p Combine like terms: 12 + -10 = 2 24 + 3p = 2 + 2p Solving 24 + 3p = 2 + 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. 24 + 3p + -2p = 2 + 2p + -2p Combine like terms: 3p + -2p = 1p 24 + 1p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 24 + 1p = 2 + 0 24 + 1p = 2 Add '-24' to each side of the equation. 24 + -24 + 1p = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 1p = 2 + -24 1p = 2 + -24 Combine like terms: 2 + -24 = -22 1p = -22 Divide each side by '1'. p = -22 Simplifying p = -22
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