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Simplifying 5(p + -6) = 8p + -21 Reorder the terms: 5(-6 + p) = 8p + -21 (-6 * 5 + p * 5) = 8p + -21 (-30 + 5p) = 8p + -21 Reorder the terms: -30 + 5p = -21 + 8p Solving -30 + 5p = -21 + 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. -30 + 5p + -8p = -21 + 8p + -8p Combine like terms: 5p + -8p = -3p -30 + -3p = -21 + 8p + -8p Combine like terms: 8p + -8p = 0 -30 + -3p = -21 + 0 -30 + -3p = -21 Add '30' to each side of the equation. -30 + 30 + -3p = -21 + 30 Combine like terms: -30 + 30 = 0 0 + -3p = -21 + 30 -3p = -21 + 30 Combine like terms: -21 + 30 = 9 -3p = 9 Divide each side by '-3'. p = -3 Simplifying p = -3
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