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Simplifying 4(-6c + -18) = 2(12 + 4c) Reorder the terms: 4(-18 + -6c) = 2(12 + 4c) (-18 * 4 + -6c * 4) = 2(12 + 4c) (-72 + -24c) = 2(12 + 4c) -72 + -24c = (12 * 2 + 4c * 2) -72 + -24c = (24 + 8c) Solving -72 + -24c = 24 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -72 + -24c + -8c = 24 + 8c + -8c Combine like terms: -24c + -8c = -32c -72 + -32c = 24 + 8c + -8c Combine like terms: 8c + -8c = 0 -72 + -32c = 24 + 0 -72 + -32c = 24 Add '72' to each side of the equation. -72 + 72 + -32c = 24 + 72 Combine like terms: -72 + 72 = 0 0 + -32c = 24 + 72 -32c = 24 + 72 Combine like terms: 24 + 72 = 96 -32c = 96 Divide each side by '-32'. c = -3 Simplifying c = -3
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