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Simplifying 3(3p + -2) = 8(p + -4) Reorder the terms: 3(-2 + 3p) = 8(p + -4) (-2 * 3 + 3p * 3) = 8(p + -4) (-6 + 9p) = 8(p + -4) Reorder the terms: -6 + 9p = 8(-4 + p) -6 + 9p = (-4 * 8 + p * 8) -6 + 9p = (-32 + 8p) Solving -6 + 9p = -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. -6 + 9p + -8p = -32 + 8p + -8p Combine like terms: 9p + -8p = 1p -6 + 1p = -32 + 8p + -8p Combine like terms: 8p + -8p = 0 -6 + 1p = -32 + 0 -6 + 1p = -32 Add '6' to each side of the equation. -6 + 6 + 1p = -32 + 6 Combine like terms: -6 + 6 = 0 0 + 1p = -32 + 6 1p = -32 + 6 Combine like terms: -32 + 6 = -26 1p = -26 Divide each side by '1'. p = -26 Simplifying p = -26
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