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Simplifying 4 + -1(3c + -6) = 7c Reorder the terms: 4 + -1(-6 + 3c) = 7c 4 + (-6 * -1 + 3c * -1) = 7c 4 + (6 + -3c) = 7c Combine like terms: 4 + 6 = 10 10 + -3c = 7c Solving 10 + -3c = 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 10 + -3c + -7c = 7c + -7c Combine like terms: -3c + -7c = -10c 10 + -10c = 7c + -7c Combine like terms: 7c + -7c = 0 10 + -10c = 0 Add '-10' to each side of the equation. 10 + -10 + -10c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -10c = 0 + -10 -10c = 0 + -10 Combine like terms: 0 + -10 = -10 -10c = -10 Divide each side by '-10'. c = 1 Simplifying c = 1
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