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Simplifying 4(2 + -1c) + -5(2c + 8) = -12 (2 * 4 + -1c * 4) + -5(2c + 8) = -12 (8 + -4c) + -5(2c + 8) = -12 Reorder the terms: 8 + -4c + -5(8 + 2c) = -12 8 + -4c + (8 * -5 + 2c * -5) = -12 8 + -4c + (-40 + -10c) = -12 Reorder the terms: 8 + -40 + -4c + -10c = -12 Combine like terms: 8 + -40 = -32 -32 + -4c + -10c = -12 Combine like terms: -4c + -10c = -14c -32 + -14c = -12 Solving -32 + -14c = -12 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -14c = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -14c = -12 + 32 -14c = -12 + 32 Combine like terms: -12 + 32 = 20 -14c = 20 Divide each side by '-14'. c = -1.428571429 Simplifying c = -1.428571429
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