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Simplifying -4p + -3(6 + -4p) = 3(p + -4) + -26 -4p + (6 * -3 + -4p * -3) = 3(p + -4) + -26 -4p + (-18 + 12p) = 3(p + -4) + -26 Reorder the terms: -18 + -4p + 12p = 3(p + -4) + -26 Combine like terms: -4p + 12p = 8p -18 + 8p = 3(p + -4) + -26 Reorder the terms: -18 + 8p = 3(-4 + p) + -26 -18 + 8p = (-4 * 3 + p * 3) + -26 -18 + 8p = (-12 + 3p) + -26 Reorder the terms: -18 + 8p = -12 + -26 + 3p Combine like terms: -12 + -26 = -38 -18 + 8p = -38 + 3p Solving -18 + 8p = -38 + 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. -18 + 8p + -3p = -38 + 3p + -3p Combine like terms: 8p + -3p = 5p -18 + 5p = -38 + 3p + -3p Combine like terms: 3p + -3p = 0 -18 + 5p = -38 + 0 -18 + 5p = -38 Add '18' to each side of the equation. -18 + 18 + 5p = -38 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -38 + 18 5p = -38 + 18 Combine like terms: -38 + 18 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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