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Simplifying -12p + -4(3 + -5p) = 3(p + -3) + -28 -12p + (3 * -4 + -5p * -4) = 3(p + -3) + -28 -12p + (-12 + 20p) = 3(p + -3) + -28 Reorder the terms: -12 + -12p + 20p = 3(p + -3) + -28 Combine like terms: -12p + 20p = 8p -12 + 8p = 3(p + -3) + -28 Reorder the terms: -12 + 8p = 3(-3 + p) + -28 -12 + 8p = (-3 * 3 + p * 3) + -28 -12 + 8p = (-9 + 3p) + -28 Reorder the terms: -12 + 8p = -9 + -28 + 3p Combine like terms: -9 + -28 = -37 -12 + 8p = -37 + 3p Solving -12 + 8p = -37 + 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 + 8p + -3p = -37 + 3p + -3p Combine like terms: 8p + -3p = 5p -12 + 5p = -37 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 5p = -37 + 0 -12 + 5p = -37 Add '12' to each side of the equation. -12 + 12 + 5p = -37 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -37 + 12 5p = -37 + 12 Combine like terms: -37 + 12 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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