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Simplifying 37 = -3 + 5(c + 6) Reorder the terms: 37 = -3 + 5(6 + c) 37 = -3 + (6 * 5 + c * 5) 37 = -3 + (30 + 5c) Combine like terms: -3 + 30 = 27 37 = 27 + 5c Solving 37 = 27 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 37 + -5c = 27 + 5c + -5c Combine like terms: 5c + -5c = 0 37 + -5c = 27 + 0 37 + -5c = 27 Add '-37' to each side of the equation. 37 + -37 + -5c = 27 + -37 Combine like terms: 37 + -37 = 0 0 + -5c = 27 + -37 -5c = 27 + -37 Combine like terms: 27 + -37 = -10 -5c = -10 Divide each side by '-5'. c = 2 Simplifying c = 2
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