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Simplifying -7c + 4 + -1c = -2(1c + 3) Reorder the terms: 4 + -7c + -1c = -2(1c + 3) Combine like terms: -7c + -1c = -8c 4 + -8c = -2(1c + 3) Reorder the terms: 4 + -8c = -2(3 + 1c) 4 + -8c = (3 * -2 + 1c * -2) 4 + -8c = (-6 + -2c) Solving 4 + -8c = -6 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 4 + -8c + 2c = -6 + -2c + 2c Combine like terms: -8c + 2c = -6c 4 + -6c = -6 + -2c + 2c Combine like terms: -2c + 2c = 0 4 + -6c = -6 + 0 4 + -6c = -6 Add '-4' to each side of the equation. 4 + -4 + -6c = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -6c = -6 + -4 -6c = -6 + -4 Combine like terms: -6 + -4 = -10 -6c = -10 Divide each side by '-6'. c = 1.666666667 Simplifying c = 1.666666667
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