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Simplifying -3(p + -5) + 4 = 4(p + -3) + -8p + 12 Reorder the terms: -3(-5 + p) + 4 = 4(p + -3) + -8p + 12 (-5 * -3 + p * -3) + 4 = 4(p + -3) + -8p + 12 (15 + -3p) + 4 = 4(p + -3) + -8p + 12 Reorder the terms: 15 + 4 + -3p = 4(p + -3) + -8p + 12 Combine like terms: 15 + 4 = 19 19 + -3p = 4(p + -3) + -8p + 12 Reorder the terms: 19 + -3p = 4(-3 + p) + -8p + 12 19 + -3p = (-3 * 4 + p * 4) + -8p + 12 19 + -3p = (-12 + 4p) + -8p + 12 Reorder the terms: 19 + -3p = -12 + 12 + 4p + -8p Combine like terms: -12 + 12 = 0 19 + -3p = 0 + 4p + -8p 19 + -3p = 4p + -8p Combine like terms: 4p + -8p = -4p 19 + -3p = -4p Solving 19 + -3p = -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. 19 + -3p + 4p = -4p + 4p Combine like terms: -3p + 4p = 1p 19 + 1p = -4p + 4p Combine like terms: -4p + 4p = 0 19 + 1p = 0 Add '-19' to each side of the equation. 19 + -19 + 1p = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1p = 0 + -19 1p = 0 + -19 Combine like terms: 0 + -19 = -19 1p = -19 Divide each side by '1'. p = -19 Simplifying p = -19
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