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Simplifying -3p + -3(4 + -4p) = 6(p + -3) + -24 -3p + (4 * -3 + -4p * -3) = 6(p + -3) + -24 -3p + (-12 + 12p) = 6(p + -3) + -24 Reorder the terms: -12 + -3p + 12p = 6(p + -3) + -24 Combine like terms: -3p + 12p = 9p -12 + 9p = 6(p + -3) + -24 Reorder the terms: -12 + 9p = 6(-3 + p) + -24 -12 + 9p = (-3 * 6 + p * 6) + -24 -12 + 9p = (-18 + 6p) + -24 Reorder the terms: -12 + 9p = -18 + -24 + 6p Combine like terms: -18 + -24 = -42 -12 + 9p = -42 + 6p Solving -12 + 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. -12 + 9p + -6p = -42 + 6p + -6p Combine like terms: 9p + -6p = 3p -12 + 3p = -42 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 3p = -42 + 0 -12 + 3p = -42 Add '12' to each side of the equation. -12 + 12 + 3p = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -42 + 12 3p = -42 + 12 Combine like terms: -42 + 12 = -30 3p = -30 Divide each side by '3'. p = -10 Simplifying p = -10
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