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Simplifying 2c + -1(4h + -13) = 37 + 13h Reorder the terms: 2c + -1(-13 + 4h) = 37 + 13h 2c + (-13 * -1 + 4h * -1) = 37 + 13h 2c + (13 + -4h) = 37 + 13h Reorder the terms: 13 + 2c + -4h = 37 + 13h Solving 13 + 2c + -4h = 37 + 13h Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 2c + -13 + -4h = 37 + -13 + 13h Reorder the terms: 13 + -13 + 2c + -4h = 37 + -13 + 13h Combine like terms: 13 + -13 = 0 0 + 2c + -4h = 37 + -13 + 13h 2c + -4h = 37 + -13 + 13h Combine like terms: 37 + -13 = 24 2c + -4h = 24 + 13h Add '4h' to each side of the equation. 2c + -4h + 4h = 24 + 13h + 4h Combine like terms: -4h + 4h = 0 2c + 0 = 24 + 13h + 4h 2c = 24 + 13h + 4h Combine like terms: 13h + 4h = 17h 2c = 24 + 17h Divide each side by '2'. c = 12 + 8.5h Simplifying c = 12 + 8.5h
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