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Simplifying 30 + -1(3c + 4) = 2(c + 7) Reorder the terms: 30 + -1(4 + 3c) = 2(c + 7) 30 + (4 * -1 + 3c * -1) = 2(c + 7) 30 + (-4 + -3c) = 2(c + 7) Combine like terms: 30 + -4 = 26 26 + -3c = 2(c + 7) Reorder the terms: 26 + -3c = 2(7 + c) 26 + -3c = (7 * 2 + c * 2) 26 + -3c = (14 + 2c) Solving 26 + -3c = 14 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 26 + -3c + -2c = 14 + 2c + -2c Combine like terms: -3c + -2c = -5c 26 + -5c = 14 + 2c + -2c Combine like terms: 2c + -2c = 0 26 + -5c = 14 + 0 26 + -5c = 14 Add '-26' to each side of the equation. 26 + -26 + -5c = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -5c = 14 + -26 -5c = 14 + -26 Combine like terms: 14 + -26 = -12 -5c = -12 Divide each side by '-5'. c = 2.4 Simplifying c = 2.4
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