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Simplifying -6(-3p + -8) = -8p + -30 Reorder the terms: -6(-8 + -3p) = -8p + -30 (-8 * -6 + -3p * -6) = -8p + -30 (48 + 18p) = -8p + -30 Reorder the terms: 48 + 18p = -30 + -8p Solving 48 + 18p = -30 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 48 + 18p + 8p = -30 + -8p + 8p Combine like terms: 18p + 8p = 26p 48 + 26p = -30 + -8p + 8p Combine like terms: -8p + 8p = 0 48 + 26p = -30 + 0 48 + 26p = -30 Add '-48' to each side of the equation. 48 + -48 + 26p = -30 + -48 Combine like terms: 48 + -48 = 0 0 + 26p = -30 + -48 26p = -30 + -48 Combine like terms: -30 + -48 = -78 26p = -78 Divide each side by '26'. p = -3 Simplifying p = -3
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