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Simplifying -6(3p + 2) + -34 = 4(2p + 8) Reorder the terms: -6(2 + 3p) + -34 = 4(2p + 8) (2 * -6 + 3p * -6) + -34 = 4(2p + 8) (-12 + -18p) + -34 = 4(2p + 8) Reorder the terms: -12 + -34 + -18p = 4(2p + 8) Combine like terms: -12 + -34 = -46 -46 + -18p = 4(2p + 8) Reorder the terms: -46 + -18p = 4(8 + 2p) -46 + -18p = (8 * 4 + 2p * 4) -46 + -18p = (32 + 8p) Solving -46 + -18p = 32 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -46 + -18p + -8p = 32 + 8p + -8p Combine like terms: -18p + -8p = -26p -46 + -26p = 32 + 8p + -8p Combine like terms: 8p + -8p = 0 -46 + -26p = 32 + 0 -46 + -26p = 32 Add '46' to each side of the equation. -46 + 46 + -26p = 32 + 46 Combine like terms: -46 + 46 = 0 0 + -26p = 32 + 46 -26p = 32 + 46 Combine like terms: 32 + 46 = 78 -26p = 78 Divide each side by '-26'. p = -3 Simplifying p = -3
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