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Simplifying -6(3p + 3) + -46 = 2(4p + 7) Reorder the terms: -6(3 + 3p) + -46 = 2(4p + 7) (3 * -6 + 3p * -6) + -46 = 2(4p + 7) (-18 + -18p) + -46 = 2(4p + 7) Reorder the terms: -18 + -46 + -18p = 2(4p + 7) Combine like terms: -18 + -46 = -64 -64 + -18p = 2(4p + 7) Reorder the terms: -64 + -18p = 2(7 + 4p) -64 + -18p = (7 * 2 + 4p * 2) -64 + -18p = (14 + 8p) Solving -64 + -18p = 14 + 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. -64 + -18p + -8p = 14 + 8p + -8p Combine like terms: -18p + -8p = -26p -64 + -26p = 14 + 8p + -8p Combine like terms: 8p + -8p = 0 -64 + -26p = 14 + 0 -64 + -26p = 14 Add '64' to each side of the equation. -64 + 64 + -26p = 14 + 64 Combine like terms: -64 + 64 = 0 0 + -26p = 14 + 64 -26p = 14 + 64 Combine like terms: 14 + 64 = 78 -26p = 78 Divide each side by '-26'. p = -3 Simplifying p = -3
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