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Simplifying -3p + -4(6 + -3p) = 6(p + -5) + -12 -3p + (6 * -4 + -3p * -4) = 6(p + -5) + -12 -3p + (-24 + 12p) = 6(p + -5) + -12 Reorder the terms: -24 + -3p + 12p = 6(p + -5) + -12 Combine like terms: -3p + 12p = 9p -24 + 9p = 6(p + -5) + -12 Reorder the terms: -24 + 9p = 6(-5 + p) + -12 -24 + 9p = (-5 * 6 + p * 6) + -12 -24 + 9p = (-30 + 6p) + -12 Reorder the terms: -24 + 9p = -30 + -12 + 6p Combine like terms: -30 + -12 = -42 -24 + 9p = -42 + 6p Solving -24 + 9p = -42 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -24 + 9p + -6p = -42 + 6p + -6p Combine like terms: 9p + -6p = 3p -24 + 3p = -42 + 6p + -6p Combine like terms: 6p + -6p = 0 -24 + 3p = -42 + 0 -24 + 3p = -42 Add '24' to each side of the equation. -24 + 24 + 3p = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 3p = -42 + 24 3p = -42 + 24 Combine like terms: -42 + 24 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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