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Simplifying 49 = 3(2c + -5) + 4 Reorder the terms: 49 = 3(-5 + 2c) + 4 49 = (-5 * 3 + 2c * 3) + 4 49 = (-15 + 6c) + 4 Reorder the terms: 49 = -15 + 4 + 6c Combine like terms: -15 + 4 = -11 49 = -11 + 6c Solving 49 = -11 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 49 + -6c = -11 + 6c + -6c Combine like terms: 6c + -6c = 0 49 + -6c = -11 + 0 49 + -6c = -11 Add '-49' to each side of the equation. 49 + -49 + -6c = -11 + -49 Combine like terms: 49 + -49 = 0 0 + -6c = -11 + -49 -6c = -11 + -49 Combine like terms: -11 + -49 = -60 -6c = -60 Divide each side by '-6'. c = 10 Simplifying c = 10
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