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Simplifying 4(c + -6) = 2(c + -10) Reorder the terms: 4(-6 + c) = 2(c + -10) (-6 * 4 + c * 4) = 2(c + -10) (-24 + 4c) = 2(c + -10) Reorder the terms: -24 + 4c = 2(-10 + c) -24 + 4c = (-10 * 2 + c * 2) -24 + 4c = (-20 + 2c) Solving -24 + 4c = -20 + 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. -24 + 4c + -2c = -20 + 2c + -2c Combine like terms: 4c + -2c = 2c -24 + 2c = -20 + 2c + -2c Combine like terms: 2c + -2c = 0 -24 + 2c = -20 + 0 -24 + 2c = -20 Add '24' to each side of the equation. -24 + 24 + 2c = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 2c = -20 + 24 2c = -20 + 24 Combine like terms: -20 + 24 = 4 2c = 4 Divide each side by '2'. c = 2 Simplifying c = 2
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