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Simplifying 40 + -1(2c + 3) = 2(c + 6) + 6 Reorder the terms: 40 + -1(3 + 2c) = 2(c + 6) + 6 40 + (3 * -1 + 2c * -1) = 2(c + 6) + 6 40 + (-3 + -2c) = 2(c + 6) + 6 Combine like terms: 40 + -3 = 37 37 + -2c = 2(c + 6) + 6 Reorder the terms: 37 + -2c = 2(6 + c) + 6 37 + -2c = (6 * 2 + c * 2) + 6 37 + -2c = (12 + 2c) + 6 Reorder the terms: 37 + -2c = 12 + 6 + 2c Combine like terms: 12 + 6 = 18 37 + -2c = 18 + 2c Solving 37 + -2c = 18 + 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. 37 + -2c + -2c = 18 + 2c + -2c Combine like terms: -2c + -2c = -4c 37 + -4c = 18 + 2c + -2c Combine like terms: 2c + -2c = 0 37 + -4c = 18 + 0 37 + -4c = 18 Add '-37' to each side of the equation. 37 + -37 + -4c = 18 + -37 Combine like terms: 37 + -37 = 0 0 + -4c = 18 + -37 -4c = 18 + -37 Combine like terms: 18 + -37 = -19 -4c = -19 Divide each side by '-4'. c = 4.75 Simplifying c = 4.75
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