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Simplifying -7 + -5(3 + -3p) = 5(p + -2) + -20 -7 + (3 * -5 + -3p * -5) = 5(p + -2) + -20 -7 + (-15 + 15p) = 5(p + -2) + -20 Combine like terms: -7 + -15 = -22 -22 + 15p = 5(p + -2) + -20 Reorder the terms: -22 + 15p = 5(-2 + p) + -20 -22 + 15p = (-2 * 5 + p * 5) + -20 -22 + 15p = (-10 + 5p) + -20 Reorder the terms: -22 + 15p = -10 + -20 + 5p Combine like terms: -10 + -20 = -30 -22 + 15p = -30 + 5p Solving -22 + 15p = -30 + 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. -22 + 15p + -5p = -30 + 5p + -5p Combine like terms: 15p + -5p = 10p -22 + 10p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -22 + 10p = -30 + 0 -22 + 10p = -30 Add '22' to each side of the equation. -22 + 22 + 10p = -30 + 22 Combine like terms: -22 + 22 = 0 0 + 10p = -30 + 22 10p = -30 + 22 Combine like terms: -30 + 22 = -8 10p = -8 Divide each side by '10'. p = -0.8 Simplifying p = -0.8
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