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Simplifying 5(c + -8) + -6(2c + 12) = -84 Reorder the terms: 5(-8 + c) + -6(2c + 12) = -84 (-8 * 5 + c * 5) + -6(2c + 12) = -84 (-40 + 5c) + -6(2c + 12) = -84 Reorder the terms: -40 + 5c + -6(12 + 2c) = -84 -40 + 5c + (12 * -6 + 2c * -6) = -84 -40 + 5c + (-72 + -12c) = -84 Reorder the terms: -40 + -72 + 5c + -12c = -84 Combine like terms: -40 + -72 = -112 -112 + 5c + -12c = -84 Combine like terms: 5c + -12c = -7c -112 + -7c = -84 Solving -112 + -7c = -84 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '112' to each side of the equation. -112 + 112 + -7c = -84 + 112 Combine like terms: -112 + 112 = 0 0 + -7c = -84 + 112 -7c = -84 + 112 Combine like terms: -84 + 112 = 28 -7c = 28 Divide each side by '-7'. c = -4 Simplifying c = -4
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