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Simplifying 5 + -3c = 3.5c + -8 Reorder the terms: 5 + -3c = -8 + 3.5c Solving 5 + -3c = -8 + 3.5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3.5c' to each side of the equation. 5 + -3c + -3.5c = -8 + 3.5c + -3.5c Combine like terms: -3c + -3.5c = -6.5c 5 + -6.5c = -8 + 3.5c + -3.5c Combine like terms: 3.5c + -3.5c = 0.0 5 + -6.5c = -8 + 0.0 5 + -6.5c = -8 Add '-5' to each side of the equation. 5 + -5 + -6.5c = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -6.5c = -8 + -5 -6.5c = -8 + -5 Combine like terms: -8 + -5 = -13 -6.5c = -13 Divide each side by '-6.5'. c = 2 Simplifying c = 2
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