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Simplifying 6p + 2(4 + -2p) = 3(p + 4) 6p + (4 * 2 + -2p * 2) = 3(p + 4) 6p + (8 + -4p) = 3(p + 4) Reorder the terms: 8 + 6p + -4p = 3(p + 4) Combine like terms: 6p + -4p = 2p 8 + 2p = 3(p + 4) Reorder the terms: 8 + 2p = 3(4 + p) 8 + 2p = (4 * 3 + p * 3) 8 + 2p = (12 + 3p) Solving 8 + 2p = 12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + 2p + -3p = 12 + 3p + -3p Combine like terms: 2p + -3p = -1p 8 + -1p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + -1p = 12 + 0 8 + -1p = 12 Add '-8' to each side of the equation. 8 + -8 + -1p = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 12 + -8 -1p = 12 + -8 Combine like terms: 12 + -8 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4
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