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Simplifying 4(c + -2) = 2(c + 7) + -7 Reorder the terms: 4(-2 + c) = 2(c + 7) + -7 (-2 * 4 + c * 4) = 2(c + 7) + -7 (-8 + 4c) = 2(c + 7) + -7 Reorder the terms: -8 + 4c = 2(7 + c) + -7 -8 + 4c = (7 * 2 + c * 2) + -7 -8 + 4c = (14 + 2c) + -7 Reorder the terms: -8 + 4c = 14 + -7 + 2c Combine like terms: 14 + -7 = 7 -8 + 4c = 7 + 2c Solving -8 + 4c = 7 + 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. -8 + 4c + -2c = 7 + 2c + -2c Combine like terms: 4c + -2c = 2c -8 + 2c = 7 + 2c + -2c Combine like terms: 2c + -2c = 0 -8 + 2c = 7 + 0 -8 + 2c = 7 Add '8' to each side of the equation. -8 + 8 + 2c = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 7 + 8 2c = 7 + 8 Combine like terms: 7 + 8 = 15 2c = 15 Divide each side by '2'. c = 7.5 Simplifying c = 7.5
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