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Simplifying 90 = -100 + 20p + -1(350 + -10p) 90 = -100 + 20p + (350 * -1 + -10p * -1) 90 = -100 + 20p + (-350 + 10p) Reorder the terms: 90 = -100 + -350 + 20p + 10p Combine like terms: -100 + -350 = -450 90 = -450 + 20p + 10p Combine like terms: 20p + 10p = 30p 90 = -450 + 30p Solving 90 = -450 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 90 + -30p = -450 + 30p + -30p Combine like terms: 30p + -30p = 0 90 + -30p = -450 + 0 90 + -30p = -450 Add '-90' to each side of the equation. 90 + -90 + -30p = -450 + -90 Combine like terms: 90 + -90 = 0 0 + -30p = -450 + -90 -30p = -450 + -90 Combine like terms: -450 + -90 = -540 -30p = -540 Divide each side by '-30'. p = 18 Simplifying p = 18
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