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Simplifying 0p + -2(3p + -6) = 4(3p + -6) + -8p Anything times zero is zero. 0p + -2(3p + -6) = 4(3p + -6) + -8p Reorder the terms: 0 + -2(-6 + 3p) = 4(3p + -6) + -8p 0 + (-6 * -2 + 3p * -2) = 4(3p + -6) + -8p 0 + (12 + -6p) = 4(3p + -6) + -8p Combine like terms: 0 + 12 = 12 12 + -6p = 4(3p + -6) + -8p Reorder the terms: 12 + -6p = 4(-6 + 3p) + -8p 12 + -6p = (-6 * 4 + 3p * 4) + -8p 12 + -6p = (-24 + 12p) + -8p Combine like terms: 12p + -8p = 4p 12 + -6p = -24 + 4p Solving 12 + -6p = -24 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 12 + -6p + -4p = -24 + 4p + -4p Combine like terms: -6p + -4p = -10p 12 + -10p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 12 + -10p = -24 + 0 12 + -10p = -24 Add '-12' to each side of the equation. 12 + -12 + -10p = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -10p = -24 + -12 -10p = -24 + -12 Combine like terms: -24 + -12 = -36 -10p = -36 Divide each side by '-10'. p = 3.6 Simplifying p = 3.6
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