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Simplifying 8(c + -9) = 6(2c + -12) + -14 Reorder the terms: 8(-9 + c) = 6(2c + -12) + -14 (-9 * 8 + c * 8) = 6(2c + -12) + -14 (-72 + 8c) = 6(2c + -12) + -14 Reorder the terms: -72 + 8c = 6(-12 + 2c) + -14 -72 + 8c = (-12 * 6 + 2c * 6) + -14 -72 + 8c = (-72 + 12c) + -14 Reorder the terms: -72 + 8c = -72 + -14 + 12c Combine like terms: -72 + -14 = -86 -72 + 8c = -86 + 12c Solving -72 + 8c = -86 + 12c 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. -72 + 8c + -12c = -86 + 12c + -12c Combine like terms: 8c + -12c = -4c -72 + -4c = -86 + 12c + -12c Combine like terms: 12c + -12c = 0 -72 + -4c = -86 + 0 -72 + -4c = -86 Add '72' to each side of the equation. -72 + 72 + -4c = -86 + 72 Combine like terms: -72 + 72 = 0 0 + -4c = -86 + 72 -4c = -86 + 72 Combine like terms: -86 + 72 = -14 -4c = -14 Divide each side by '-4'. c = 3.5 Simplifying c = 3.5
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