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Simplifying 3p + -3(4 + -2p) = 4(p + -3) + -15 3p + (4 * -3 + -2p * -3) = 4(p + -3) + -15 3p + (-12 + 6p) = 4(p + -3) + -15 Reorder the terms: -12 + 3p + 6p = 4(p + -3) + -15 Combine like terms: 3p + 6p = 9p -12 + 9p = 4(p + -3) + -15 Reorder the terms: -12 + 9p = 4(-3 + p) + -15 -12 + 9p = (-3 * 4 + p * 4) + -15 -12 + 9p = (-12 + 4p) + -15 Reorder the terms: -12 + 9p = -12 + -15 + 4p Combine like terms: -12 + -15 = -27 -12 + 9p = -27 + 4p Solving -12 + 9p = -27 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -12 + 9p + -4p = -27 + 4p + -4p Combine like terms: 9p + -4p = 5p -12 + 5p = -27 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 5p = -27 + 0 -12 + 5p = -27 Add '12' to each side of the equation. -12 + 12 + 5p = -27 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -27 + 12 5p = -27 + 12 Combine like terms: -27 + 12 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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