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Simplifying 4(5p + 10) = -10p + -8(-4 + -10) Reorder the terms: 4(10 + 5p) = -10p + -8(-4 + -10) (10 * 4 + 5p * 4) = -10p + -8(-4 + -10) (40 + 20p) = -10p + -8(-4 + -10) Combine like terms: -4 + -10 = -14 40 + 20p = -10p + -8(-14) Multiply -8 * -14 40 + 20p = -10p + 112 Reorder the terms: 40 + 20p = 112 + -10p Solving 40 + 20p = 112 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 40 + 20p + 10p = 112 + -10p + 10p Combine like terms: 20p + 10p = 30p 40 + 30p = 112 + -10p + 10p Combine like terms: -10p + 10p = 0 40 + 30p = 112 + 0 40 + 30p = 112 Add '-40' to each side of the equation. 40 + -40 + 30p = 112 + -40 Combine like terms: 40 + -40 = 0 0 + 30p = 112 + -40 30p = 112 + -40 Combine like terms: 112 + -40 = 72 30p = 72 Divide each side by '30'. p = 2.4 Simplifying p = 2.4
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