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Simplifying 4(3p + -8) = 2(4p + -4) Reorder the terms: 4(-8 + 3p) = 2(4p + -4) (-8 * 4 + 3p * 4) = 2(4p + -4) (-32 + 12p) = 2(4p + -4) Reorder the terms: -32 + 12p = 2(-4 + 4p) -32 + 12p = (-4 * 2 + 4p * 2) -32 + 12p = (-8 + 8p) Solving -32 + 12p = -8 + 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. -32 + 12p + -8p = -8 + 8p + -8p Combine like terms: 12p + -8p = 4p -32 + 4p = -8 + 8p + -8p Combine like terms: 8p + -8p = 0 -32 + 4p = -8 + 0 -32 + 4p = -8 Add '32' to each side of the equation. -32 + 32 + 4p = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 4p = -8 + 32 4p = -8 + 32 Combine like terms: -8 + 32 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6
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