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Simplifying -3p + -2(p + -3) = 4(-3 + p) Reorder the terms: -3p + -2(-3 + p) = 4(-3 + p) -3p + (-3 * -2 + p * -2) = 4(-3 + p) -3p + (6 + -2p) = 4(-3 + p) Reorder the terms: 6 + -3p + -2p = 4(-3 + p) Combine like terms: -3p + -2p = -5p 6 + -5p = 4(-3 + p) 6 + -5p = (-3 * 4 + p * 4) 6 + -5p = (-12 + 4p) Solving 6 + -5p = -12 + 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. 6 + -5p + -4p = -12 + 4p + -4p Combine like terms: -5p + -4p = -9p 6 + -9p = -12 + 4p + -4p Combine like terms: 4p + -4p = 0 6 + -9p = -12 + 0 6 + -9p = -12 Add '-6' to each side of the equation. 6 + -6 + -9p = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -9p = -12 + -6 -9p = -12 + -6 Combine like terms: -12 + -6 = -18 -9p = -18 Divide each side by '-9'. p = 2 Simplifying p = 2
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