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Simplifying 4p + -2(5 + -3p) = 5(p + -3) + -20 4p + (5 * -2 + -3p * -2) = 5(p + -3) + -20 4p + (-10 + 6p) = 5(p + -3) + -20 Reorder the terms: -10 + 4p + 6p = 5(p + -3) + -20 Combine like terms: 4p + 6p = 10p -10 + 10p = 5(p + -3) + -20 Reorder the terms: -10 + 10p = 5(-3 + p) + -20 -10 + 10p = (-3 * 5 + p * 5) + -20 -10 + 10p = (-15 + 5p) + -20 Reorder the terms: -10 + 10p = -15 + -20 + 5p Combine like terms: -15 + -20 = -35 -10 + 10p = -35 + 5p Solving -10 + 10p = -35 + 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 + 10p + -5p = -35 + 5p + -5p Combine like terms: 10p + -5p = 5p -10 + 5p = -35 + 5p + -5p Combine like terms: 5p + -5p = 0 -10 + 5p = -35 + 0 -10 + 5p = -35 Add '10' to each side of the equation. -10 + 10 + 5p = -35 + 10 Combine like terms: -10 + 10 = 0 0 + 5p = -35 + 10 5p = -35 + 10 Combine like terms: -35 + 10 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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