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Simplifying -15p + -4(3 + -6p) = 5(p + -2) + -30 -15p + (3 * -4 + -6p * -4) = 5(p + -2) + -30 -15p + (-12 + 24p) = 5(p + -2) + -30 Reorder the terms: -12 + -15p + 24p = 5(p + -2) + -30 Combine like terms: -15p + 24p = 9p -12 + 9p = 5(p + -2) + -30 Reorder the terms: -12 + 9p = 5(-2 + p) + -30 -12 + 9p = (-2 * 5 + p * 5) + -30 -12 + 9p = (-10 + 5p) + -30 Reorder the terms: -12 + 9p = -10 + -30 + 5p Combine like terms: -10 + -30 = -40 -12 + 9p = -40 + 5p Solving -12 + 9p = -40 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 9p + -5p = -40 + 5p + -5p Combine like terms: 9p + -5p = 4p -12 + 4p = -40 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 4p = -40 + 0 -12 + 4p = -40 Add '12' to each side of the equation. -12 + 12 + 4p = -40 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -40 + 12 4p = -40 + 12 Combine like terms: -40 + 12 = -28 4p = -28 Divide each side by '4'. p = -7 Simplifying p = -7
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