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Simplifying 38 = 4(2c + -3) + 2c Reorder the terms: 38 = 4(-3 + 2c) + 2c 38 = (-3 * 4 + 2c * 4) + 2c 38 = (-12 + 8c) + 2c Combine like terms: 8c + 2c = 10c 38 = -12 + 10c Solving 38 = -12 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 38 + -10c = -12 + 10c + -10c Combine like terms: 10c + -10c = 0 38 + -10c = -12 + 0 38 + -10c = -12 Add '-38' to each side of the equation. 38 + -38 + -10c = -12 + -38 Combine like terms: 38 + -38 = 0 0 + -10c = -12 + -38 -10c = -12 + -38 Combine like terms: -12 + -38 = -50 -10c = -50 Divide each side by '-10'. c = 5 Simplifying c = 5
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