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Simplifying 2(c + -2) = 3(c + -6) Reorder the terms: 2(-2 + c) = 3(c + -6) (-2 * 2 + c * 2) = 3(c + -6) (-4 + 2c) = 3(c + -6) Reorder the terms: -4 + 2c = 3(-6 + c) -4 + 2c = (-6 * 3 + c * 3) -4 + 2c = (-18 + 3c) Solving -4 + 2c = -18 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -4 + 2c + -3c = -18 + 3c + -3c Combine like terms: 2c + -3c = -1c -4 + -1c = -18 + 3c + -3c Combine like terms: 3c + -3c = 0 -4 + -1c = -18 + 0 -4 + -1c = -18 Add '4' to each side of the equation. -4 + 4 + -1c = -18 + 4 Combine like terms: -4 + 4 = 0 0 + -1c = -18 + 4 -1c = -18 + 4 Combine like terms: -18 + 4 = -14 -1c = -14 Divide each side by '-1'. c = 14 Simplifying c = 14
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