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Simplifying 7 + -3(c + 1) = 2(c + -3) Reorder the terms: 7 + -3(1 + c) = 2(c + -3) 7 + (1 * -3 + c * -3) = 2(c + -3) 7 + (-3 + -3c) = 2(c + -3) Combine like terms: 7 + -3 = 4 4 + -3c = 2(c + -3) Reorder the terms: 4 + -3c = 2(-3 + c) 4 + -3c = (-3 * 2 + c * 2) 4 + -3c = (-6 + 2c) Solving 4 + -3c = -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 + -3c + -2c = -6 + 2c + -2c Combine like terms: -3c + -2c = -5c 4 + -5c = -6 + 2c + -2c Combine like terms: 2c + -2c = 0 4 + -5c = -6 + 0 4 + -5c = -6 Add '-4' to each side of the equation. 4 + -4 + -5c = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5c = -6 + -4 -5c = -6 + -4 Combine like terms: -6 + -4 = -10 -5c = -10 Divide each side by '-5'. c = 2 Simplifying c = 2
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