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Simplifying -22p + -5(2 + -6p) = 5(p + -2) + -15 -22p + (2 * -5 + -6p * -5) = 5(p + -2) + -15 -22p + (-10 + 30p) = 5(p + -2) + -15 Reorder the terms: -10 + -22p + 30p = 5(p + -2) + -15 Combine like terms: -22p + 30p = 8p -10 + 8p = 5(p + -2) + -15 Reorder the terms: -10 + 8p = 5(-2 + p) + -15 -10 + 8p = (-2 * 5 + p * 5) + -15 -10 + 8p = (-10 + 5p) + -15 Reorder the terms: -10 + 8p = -10 + -15 + 5p Combine like terms: -10 + -15 = -25 -10 + 8p = -25 + 5p Solving -10 + 8p = -25 + 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. -10 + 8p + -5p = -25 + 5p + -5p Combine like terms: 8p + -5p = 3p -10 + 3p = -25 + 5p + -5p Combine like terms: 5p + -5p = 0 -10 + 3p = -25 + 0 -10 + 3p = -25 Add '10' to each side of the equation. -10 + 10 + 3p = -25 + 10 Combine like terms: -10 + 10 = 0 0 + 3p = -25 + 10 3p = -25 + 10 Combine like terms: -25 + 10 = -15 3p = -15 Divide each side by '3'. p = -5 Simplifying p = -5
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