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Simplifying 8(p + -6) = -4(p + 6) + -12 Reorder the terms: 8(-6 + p) = -4(p + 6) + -12 (-6 * 8 + p * 8) = -4(p + 6) + -12 (-48 + 8p) = -4(p + 6) + -12 Reorder the terms: -48 + 8p = -4(6 + p) + -12 -48 + 8p = (6 * -4 + p * -4) + -12 -48 + 8p = (-24 + -4p) + -12 Reorder the terms: -48 + 8p = -24 + -12 + -4p Combine like terms: -24 + -12 = -36 -48 + 8p = -36 + -4p Solving -48 + 8p = -36 + -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. -48 + 8p + 4p = -36 + -4p + 4p Combine like terms: 8p + 4p = 12p -48 + 12p = -36 + -4p + 4p Combine like terms: -4p + 4p = 0 -48 + 12p = -36 + 0 -48 + 12p = -36 Add '48' to each side of the equation. -48 + 48 + 12p = -36 + 48 Combine like terms: -48 + 48 = 0 0 + 12p = -36 + 48 12p = -36 + 48 Combine like terms: -36 + 48 = 12 12p = 12 Divide each side by '12'. p = 1 Simplifying p = 1
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