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Simplifying 3(p + -4) = 8(p + -4) Reorder the terms: 3(-4 + p) = 8(p + -4) (-4 * 3 + p * 3) = 8(p + -4) (-12 + 3p) = 8(p + -4) Reorder the terms: -12 + 3p = 8(-4 + p) -12 + 3p = (-4 * 8 + p * 8) -12 + 3p = (-32 + 8p) Solving -12 + 3p = -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. -12 + 3p + -8p = -32 + 8p + -8p Combine like terms: 3p + -8p = -5p -12 + -5p = -32 + 8p + -8p Combine like terms: 8p + -8p = 0 -12 + -5p = -32 + 0 -12 + -5p = -32 Add '12' to each side of the equation. -12 + 12 + -5p = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -5p = -32 + 12 -5p = -32 + 12 Combine like terms: -32 + 12 = -20 -5p = -20 Divide each side by '-5'. p = 4 Simplifying p = 4
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