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Simplifying 3(15 + -1c) = (4 + -1c) + -2(5 + -1c) (15 * 3 + -1c * 3) = (4 + -1c) + -2(5 + -1c) (45 + -3c) = (4 + -1c) + -2(5 + -1c) Remove parenthesis around (4 + -1c) 45 + -3c = 4 + -1c + -2(5 + -1c) 45 + -3c = 4 + -1c + (5 * -2 + -1c * -2) 45 + -3c = 4 + -1c + (-10 + 2c) Reorder the terms: 45 + -3c = 4 + -10 + -1c + 2c Combine like terms: 4 + -10 = -6 45 + -3c = -6 + -1c + 2c Combine like terms: -1c + 2c = 1c 45 + -3c = -6 + 1c Solving 45 + -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. 45 + -3c + -1c = -6 + 1c + -1c Combine like terms: -3c + -1c = -4c 45 + -4c = -6 + 1c + -1c Combine like terms: 1c + -1c = 0 45 + -4c = -6 + 0 45 + -4c = -6 Add '-45' to each side of the equation. 45 + -45 + -4c = -6 + -45 Combine like terms: 45 + -45 = 0 0 + -4c = -6 + -45 -4c = -6 + -45 Combine like terms: -6 + -45 = -51 -4c = -51 Divide each side by '-4'. c = 12.75 Simplifying c = 12.75
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