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Simplifying 37 + -1(2c + 3) = 4(c + 5) + 5 Reorder the terms: 37 + -1(3 + 2c) = 4(c + 5) + 5 37 + (3 * -1 + 2c * -1) = 4(c + 5) + 5 37 + (-3 + -2c) = 4(c + 5) + 5 Combine like terms: 37 + -3 = 34 34 + -2c = 4(c + 5) + 5 Reorder the terms: 34 + -2c = 4(5 + c) + 5 34 + -2c = (5 * 4 + c * 4) + 5 34 + -2c = (20 + 4c) + 5 Reorder the terms: 34 + -2c = 20 + 5 + 4c Combine like terms: 20 + 5 = 25 34 + -2c = 25 + 4c Solving 34 + -2c = 25 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 34 + -2c + -4c = 25 + 4c + -4c Combine like terms: -2c + -4c = -6c 34 + -6c = 25 + 4c + -4c Combine like terms: 4c + -4c = 0 34 + -6c = 25 + 0 34 + -6c = 25 Add '-34' to each side of the equation. 34 + -34 + -6c = 25 + -34 Combine like terms: 34 + -34 = 0 0 + -6c = 25 + -34 -6c = 25 + -34 Combine like terms: 25 + -34 = -9 -6c = -9 Divide each side by '-6'. c = 1.5 Simplifying c = 1.5
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