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Simplifying -8p + -6(5 + -3p) = 6(p + -2) + -26 -8p + (5 * -6 + -3p * -6) = 6(p + -2) + -26 -8p + (-30 + 18p) = 6(p + -2) + -26 Reorder the terms: -30 + -8p + 18p = 6(p + -2) + -26 Combine like terms: -8p + 18p = 10p -30 + 10p = 6(p + -2) + -26 Reorder the terms: -30 + 10p = 6(-2 + p) + -26 -30 + 10p = (-2 * 6 + p * 6) + -26 -30 + 10p = (-12 + 6p) + -26 Reorder the terms: -30 + 10p = -12 + -26 + 6p Combine like terms: -12 + -26 = -38 -30 + 10p = -38 + 6p Solving -30 + 10p = -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. -30 + 10p + -6p = -38 + 6p + -6p Combine like terms: 10p + -6p = 4p -30 + 4p = -38 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 4p = -38 + 0 -30 + 4p = -38 Add '30' to each side of the equation. -30 + 30 + 4p = -38 + 30 Combine like terms: -30 + 30 = 0 0 + 4p = -38 + 30 4p = -38 + 30 Combine like terms: -38 + 30 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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