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Simplifying 4c + -3(c + -7) = 4 + 2c Reorder the terms: 4c + -3(-7 + c) = 4 + 2c 4c + (-7 * -3 + c * -3) = 4 + 2c 4c + (21 + -3c) = 4 + 2c Reorder the terms: 21 + 4c + -3c = 4 + 2c Combine like terms: 4c + -3c = 1c 21 + 1c = 4 + 2c Solving 21 + 1c = 4 + 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. 21 + 1c + -2c = 4 + 2c + -2c Combine like terms: 1c + -2c = -1c 21 + -1c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 21 + -1c = 4 + 0 21 + -1c = 4 Add '-21' to each side of the equation. 21 + -21 + -1c = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -1c = 4 + -21 -1c = 4 + -21 Combine like terms: 4 + -21 = -17 -1c = -17 Divide each side by '-1'. c = 17 Simplifying c = 17
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