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Simplifying -6p + -4(3 + -3p) = 3(p + -3) + -15 -6p + (3 * -4 + -3p * -4) = 3(p + -3) + -15 -6p + (-12 + 12p) = 3(p + -3) + -15 Reorder the terms: -12 + -6p + 12p = 3(p + -3) + -15 Combine like terms: -6p + 12p = 6p -12 + 6p = 3(p + -3) + -15 Reorder the terms: -12 + 6p = 3(-3 + p) + -15 -12 + 6p = (-3 * 3 + p * 3) + -15 -12 + 6p = (-9 + 3p) + -15 Reorder the terms: -12 + 6p = -9 + -15 + 3p Combine like terms: -9 + -15 = -24 -12 + 6p = -24 + 3p Solving -12 + 6p = -24 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -12 + 6p + -3p = -24 + 3p + -3p Combine like terms: 6p + -3p = 3p -12 + 3p = -24 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 3p = -24 + 0 -12 + 3p = -24 Add '12' to each side of the equation. -12 + 12 + 3p = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -24 + 12 3p = -24 + 12 Combine like terms: -24 + 12 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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