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Simplifying 8(c + -9) = 6(2c + -12) + -4v Reorder the terms: 8(-9 + c) = 6(2c + -12) + -4v (-9 * 8 + c * 8) = 6(2c + -12) + -4v (-72 + 8c) = 6(2c + -12) + -4v Reorder the terms: -72 + 8c = 6(-12 + 2c) + -4v -72 + 8c = (-12 * 6 + 2c * 6) + -4v -72 + 8c = (-72 + 12c) + -4v Add '72' to each side of the equation. -72 + 72 + 8c = -72 + 12c + 72 + -4v Combine like terms: -72 + 72 = 0 0 + 8c = -72 + 12c + 72 + -4v 8c = -72 + 12c + 72 + -4v Reorder the terms: 8c = -72 + 72 + 12c + -4v Combine like terms: -72 + 72 = 0 8c = 0 + 12c + -4v 8c = 12c + -4v Solving 8c = 12c + -4v Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 8c + -12c = 12c + -12c + -4v Combine like terms: 8c + -12c = -4c -4c = 12c + -12c + -4v Combine like terms: 12c + -12c = 0 -4c = 0 + -4v -4c = -4v Divide each side by '-4'. c = v Simplifying c = v
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