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Simplifying 17 + 3(15 + -1c) = (4 + -1c) + -2(5 + -1c) 17 + (15 * 3 + -1c * 3) = (4 + -1c) + -2(5 + -1c) 17 + (45 + -3c) = (4 + -1c) + -2(5 + -1c) Combine like terms: 17 + 45 = 62 62 + -3c = (4 + -1c) + -2(5 + -1c) Remove parenthesis around (4 + -1c) 62 + -3c = 4 + -1c + -2(5 + -1c) 62 + -3c = 4 + -1c + (5 * -2 + -1c * -2) 62 + -3c = 4 + -1c + (-10 + 2c) Reorder the terms: 62 + -3c = 4 + -10 + -1c + 2c Combine like terms: 4 + -10 = -6 62 + -3c = -6 + -1c + 2c Combine like terms: -1c + 2c = 1c 62 + -3c = -6 + 1c Solving 62 + -3c = -6 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 62 + -3c + -1c = -6 + 1c + -1c Combine like terms: -3c + -1c = -4c 62 + -4c = -6 + 1c + -1c Combine like terms: 1c + -1c = 0 62 + -4c = -6 + 0 62 + -4c = -6 Add '-62' to each side of the equation. 62 + -62 + -4c = -6 + -62 Combine like terms: 62 + -62 = 0 0 + -4c = -6 + -62 -4c = -6 + -62 Combine like terms: -6 + -62 = -68 -4c = -68 Divide each side by '-4'. c = 17 Simplifying c = 17
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