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Simplifying -8p + -3(2 + -6p) = 6(p + -5) + -4 -8p + (2 * -3 + -6p * -3) = 6(p + -5) + -4 -8p + (-6 + 18p) = 6(p + -5) + -4 Reorder the terms: -6 + -8p + 18p = 6(p + -5) + -4 Combine like terms: -8p + 18p = 10p -6 + 10p = 6(p + -5) + -4 Reorder the terms: -6 + 10p = 6(-5 + p) + -4 -6 + 10p = (-5 * 6 + p * 6) + -4 -6 + 10p = (-30 + 6p) + -4 Reorder the terms: -6 + 10p = -30 + -4 + 6p Combine like terms: -30 + -4 = -34 -6 + 10p = -34 + 6p Solving -6 + 10p = -34 + 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. -6 + 10p + -6p = -34 + 6p + -6p Combine like terms: 10p + -6p = 4p -6 + 4p = -34 + 6p + -6p Combine like terms: 6p + -6p = 0 -6 + 4p = -34 + 0 -6 + 4p = -34 Add '6' to each side of the equation. -6 + 6 + 4p = -34 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -34 + 6 4p = -34 + 6 Combine like terms: -34 + 6 = -28 4p = -28 Divide each side by '4'. p = -7 Simplifying p = -7
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