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Simplifying -33 = 9 + 5(c + -8) Reorder the terms: -33 = 9 + 5(-8 + c) -33 = 9 + (-8 * 5 + c * 5) -33 = 9 + (-40 + 5c) Combine like terms: 9 + -40 = -31 -33 = -31 + 5c Solving -33 = -31 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -33 + -5c = -31 + 5c + -5c Combine like terms: 5c + -5c = 0 -33 + -5c = -31 + 0 -33 + -5c = -31 Add '33' to each side of the equation. -33 + 33 + -5c = -31 + 33 Combine like terms: -33 + 33 = 0 0 + -5c = -31 + 33 -5c = -31 + 33 Combine like terms: -31 + 33 = 2 -5c = 2 Divide each side by '-5'. c = -0.4 Simplifying c = -0.4
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