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Simplifying -3p + -2(6 + -5p) = 4(p + -4) + -26 -3p + (6 * -2 + -5p * -2) = 4(p + -4) + -26 -3p + (-12 + 10p) = 4(p + -4) + -26 Reorder the terms: -12 + -3p + 10p = 4(p + -4) + -26 Combine like terms: -3p + 10p = 7p -12 + 7p = 4(p + -4) + -26 Reorder the terms: -12 + 7p = 4(-4 + p) + -26 -12 + 7p = (-4 * 4 + p * 4) + -26 -12 + 7p = (-16 + 4p) + -26 Reorder the terms: -12 + 7p = -16 + -26 + 4p Combine like terms: -16 + -26 = -42 -12 + 7p = -42 + 4p Solving -12 + 7p = -42 + 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. -12 + 7p + -4p = -42 + 4p + -4p Combine like terms: 7p + -4p = 3p -12 + 3p = -42 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 3p = -42 + 0 -12 + 3p = -42 Add '12' to each side of the equation. -12 + 12 + 3p = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -42 + 12 3p = -42 + 12 Combine like terms: -42 + 12 = -30 3p = -30 Divide each side by '3'. p = -10 Simplifying p = -10
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