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Simplifying -29 + -2c = -5(6c + 8) Reorder the terms: -29 + -2c = -5(8 + 6c) -29 + -2c = (8 * -5 + 6c * -5) -29 + -2c = (-40 + -30c) Solving -29 + -2c = -40 + -30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '30c' to each side of the equation. -29 + -2c + 30c = -40 + -30c + 30c Combine like terms: -2c + 30c = 28c -29 + 28c = -40 + -30c + 30c Combine like terms: -30c + 30c = 0 -29 + 28c = -40 + 0 -29 + 28c = -40 Add '29' to each side of the equation. -29 + 29 + 28c = -40 + 29 Combine like terms: -29 + 29 = 0 0 + 28c = -40 + 29 28c = -40 + 29 Combine like terms: -40 + 29 = -11 28c = -11 Divide each side by '28'. c = -0.3928571429 Simplifying c = -0.3928571429
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