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Simplifying 2c + -1 = 7(c + -4) + -2c Reorder the terms: -1 + 2c = 7(c + -4) + -2c Reorder the terms: -1 + 2c = 7(-4 + c) + -2c -1 + 2c = (-4 * 7 + c * 7) + -2c -1 + 2c = (-28 + 7c) + -2c Combine like terms: 7c + -2c = 5c -1 + 2c = -28 + 5c Solving -1 + 2c = -28 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -1 + 2c + -5c = -28 + 5c + -5c Combine like terms: 2c + -5c = -3c -1 + -3c = -28 + 5c + -5c Combine like terms: 5c + -5c = 0 -1 + -3c = -28 + 0 -1 + -3c = -28 Add '1' to each side of the equation. -1 + 1 + -3c = -28 + 1 Combine like terms: -1 + 1 = 0 0 + -3c = -28 + 1 -3c = -28 + 1 Combine like terms: -28 + 1 = -27 -3c = -27 Divide each side by '-3'. c = 9 Simplifying c = 9
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