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Simplifying -3p + -4(5 + -3p) = 6(p + -2) + -26 -3p + (5 * -4 + -3p * -4) = 6(p + -2) + -26 -3p + (-20 + 12p) = 6(p + -2) + -26 Reorder the terms: -20 + -3p + 12p = 6(p + -2) + -26 Combine like terms: -3p + 12p = 9p -20 + 9p = 6(p + -2) + -26 Reorder the terms: -20 + 9p = 6(-2 + p) + -26 -20 + 9p = (-2 * 6 + p * 6) + -26 -20 + 9p = (-12 + 6p) + -26 Reorder the terms: -20 + 9p = -12 + -26 + 6p Combine like terms: -12 + -26 = -38 -20 + 9p = -38 + 6p Solving -20 + 9p = -38 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -20 + 9p + -6p = -38 + 6p + -6p Combine like terms: 9p + -6p = 3p -20 + 3p = -38 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 3p = -38 + 0 -20 + 3p = -38 Add '20' to each side of the equation. -20 + 20 + 3p = -38 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -38 + 20 3p = -38 + 20 Combine like terms: -38 + 20 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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