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Simplifying 5 + -1(12 + -3c) = -4c + -2 5 + (12 * -1 + -3c * -1) = -4c + -2 5 + (-12 + 3c) = -4c + -2 Combine like terms: 5 + -12 = -7 -7 + 3c = -4c + -2 Reorder the terms: -7 + 3c = -2 + -4c Solving -7 + 3c = -2 + -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. -7 + 3c + 4c = -2 + -4c + 4c Combine like terms: 3c + 4c = 7c -7 + 7c = -2 + -4c + 4c Combine like terms: -4c + 4c = 0 -7 + 7c = -2 + 0 -7 + 7c = -2 Add '7' to each side of the equation. -7 + 7 + 7c = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 7c = -2 + 7 7c = -2 + 7 Combine like terms: -2 + 7 = 5 7c = 5 Divide each side by '7'. c = 0.7142857143 Simplifying c = 0.7142857143
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