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Simplifying 6c + -6 = 2(c + 125) Reorder the terms: -6 + 6c = 2(c + 125) Reorder the terms: -6 + 6c = 2(125 + c) -6 + 6c = (125 * 2 + c * 2) -6 + 6c = (250 + 2c) Solving -6 + 6c = 250 + 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. -6 + 6c + -2c = 250 + 2c + -2c Combine like terms: 6c + -2c = 4c -6 + 4c = 250 + 2c + -2c Combine like terms: 2c + -2c = 0 -6 + 4c = 250 + 0 -6 + 4c = 250 Add '6' to each side of the equation. -6 + 6 + 4c = 250 + 6 Combine like terms: -6 + 6 = 0 0 + 4c = 250 + 6 4c = 250 + 6 Combine like terms: 250 + 6 = 256 4c = 256 Divide each side by '4'. c = 64 Simplifying c = 64
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