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Simplifying 5c + -4(c + -7) = 2 + 2c Reorder the terms: 5c + -4(-7 + c) = 2 + 2c 5c + (-7 * -4 + c * -4) = 2 + 2c 5c + (28 + -4c) = 2 + 2c Reorder the terms: 28 + 5c + -4c = 2 + 2c Combine like terms: 5c + -4c = 1c 28 + 1c = 2 + 2c Solving 28 + 1c = 2 + 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. 28 + 1c + -2c = 2 + 2c + -2c Combine like terms: 1c + -2c = -1c 28 + -1c = 2 + 2c + -2c Combine like terms: 2c + -2c = 0 28 + -1c = 2 + 0 28 + -1c = 2 Add '-28' to each side of the equation. 28 + -28 + -1c = 2 + -28 Combine like terms: 28 + -28 = 0 0 + -1c = 2 + -28 -1c = 2 + -28 Combine like terms: 2 + -28 = -26 -1c = -26 Divide each side by '-1'. c = 26 Simplifying c = 26
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