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Simplifying -21p + -6(5 + -5p) = 5(p + -5) + -25 -21p + (5 * -6 + -5p * -6) = 5(p + -5) + -25 -21p + (-30 + 30p) = 5(p + -5) + -25 Reorder the terms: -30 + -21p + 30p = 5(p + -5) + -25 Combine like terms: -21p + 30p = 9p -30 + 9p = 5(p + -5) + -25 Reorder the terms: -30 + 9p = 5(-5 + p) + -25 -30 + 9p = (-5 * 5 + p * 5) + -25 -30 + 9p = (-25 + 5p) + -25 Reorder the terms: -30 + 9p = -25 + -25 + 5p Combine like terms: -25 + -25 = -50 -30 + 9p = -50 + 5p Solving -30 + 9p = -50 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -30 + 9p + -5p = -50 + 5p + -5p Combine like terms: 9p + -5p = 4p -30 + 4p = -50 + 5p + -5p Combine like terms: 5p + -5p = 0 -30 + 4p = -50 + 0 -30 + 4p = -50 Add '30' to each side of the equation. -30 + 30 + 4p = -50 + 30 Combine like terms: -30 + 30 = 0 0 + 4p = -50 + 30 4p = -50 + 30 Combine like terms: -50 + 30 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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