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Simplifying 5(c + -8) + -3(2c + 12) = -74 Reorder the terms: 5(-8 + c) + -3(2c + 12) = -74 (-8 * 5 + c * 5) + -3(2c + 12) = -74 (-40 + 5c) + -3(2c + 12) = -74 Reorder the terms: -40 + 5c + -3(12 + 2c) = -74 -40 + 5c + (12 * -3 + 2c * -3) = -74 -40 + 5c + (-36 + -6c) = -74 Reorder the terms: -40 + -36 + 5c + -6c = -74 Combine like terms: -40 + -36 = -76 -76 + 5c + -6c = -74 Combine like terms: 5c + -6c = -1c -76 + -1c = -74 Solving -76 + -1c = -74 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '76' to each side of the equation. -76 + 76 + -1c = -74 + 76 Combine like terms: -76 + 76 = 0 0 + -1c = -74 + 76 -1c = -74 + 76 Combine like terms: -74 + 76 = 2 -1c = 2 Divide each side by '-1'. c = -2 Simplifying c = -2
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