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Simplifying -8p + -3(5 + -6p) = 6(p + -3) + -37 -8p + (5 * -3 + -6p * -3) = 6(p + -3) + -37 -8p + (-15 + 18p) = 6(p + -3) + -37 Reorder the terms: -15 + -8p + 18p = 6(p + -3) + -37 Combine like terms: -8p + 18p = 10p -15 + 10p = 6(p + -3) + -37 Reorder the terms: -15 + 10p = 6(-3 + p) + -37 -15 + 10p = (-3 * 6 + p * 6) + -37 -15 + 10p = (-18 + 6p) + -37 Reorder the terms: -15 + 10p = -18 + -37 + 6p Combine like terms: -18 + -37 = -55 -15 + 10p = -55 + 6p Solving -15 + 10p = -55 + 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. -15 + 10p + -6p = -55 + 6p + -6p Combine like terms: 10p + -6p = 4p -15 + 4p = -55 + 6p + -6p Combine like terms: 6p + -6p = 0 -15 + 4p = -55 + 0 -15 + 4p = -55 Add '15' to each side of the equation. -15 + 15 + 4p = -55 + 15 Combine like terms: -15 + 15 = 0 0 + 4p = -55 + 15 4p = -55 + 15 Combine like terms: -55 + 15 = -40 4p = -40 Divide each side by '4'. p = -10 Simplifying p = -10
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