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Simplifying 8(2 + -9) = 6(2c + -12) + -4c Combine like terms: 2 + -9 = -7 8(-7) = 6(2c + -12) + -4c Multiply 8 * -7 -56 = 6(2c + -12) + -4c Reorder the terms: -56 = 6(-12 + 2c) + -4c -56 = (-12 * 6 + 2c * 6) + -4c -56 = (-72 + 12c) + -4c Combine like terms: 12c + -4c = 8c -56 = -72 + 8c Solving -56 = -72 + 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. -56 + -8c = -72 + 8c + -8c Combine like terms: 8c + -8c = 0 -56 + -8c = -72 + 0 -56 + -8c = -72 Add '56' to each side of the equation. -56 + 56 + -8c = -72 + 56 Combine like terms: -56 + 56 = 0 0 + -8c = -72 + 56 -8c = -72 + 56 Combine like terms: -72 + 56 = -16 -8c = -16 Divide each side by '-8'. c = 2 Simplifying c = 2
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