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Simplifying -2(15p + -1) + 24 + 2(5 + 5p) + 8 + -2 = 100 Reorder the terms: -2(-1 + 15p) + 24 + 2(5 + 5p) + 8 + -2 = 100 (-1 * -2 + 15p * -2) + 24 + 2(5 + 5p) + 8 + -2 = 100 (2 + -30p) + 24 + 2(5 + 5p) + 8 + -2 = 100 2 + -30p + 24 + (5 * 2 + 5p * 2) + 8 + -2 = 100 2 + -30p + 24 + (10 + 10p) + 8 + -2 = 100 Reorder the terms: 2 + 24 + 10 + 8 + -2 + -30p + 10p = 100 Combine like terms: 2 + 24 = 26 26 + 10 + 8 + -2 + -30p + 10p = 100 Combine like terms: 26 + 10 = 36 36 + 8 + -2 + -30p + 10p = 100 Combine like terms: 36 + 8 = 44 44 + -2 + -30p + 10p = 100 Combine like terms: 44 + -2 = 42 42 + -30p + 10p = 100 Combine like terms: -30p + 10p = -20p 42 + -20p = 100 Solving 42 + -20p = 100 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -20p = 100 + -42 Combine like terms: 42 + -42 = 0 0 + -20p = 100 + -42 -20p = 100 + -42 Combine like terms: 100 + -42 = 58 -20p = 58 Divide each side by '-20'. p = -2.9 Simplifying p = -2.9
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