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Simplifying 0.2(10 + -5c) = 5c + -16 (10 * 0.2 + -5c * 0.2) = 5c + -16 (2 + -1c) = 5c + -16 Reorder the terms: 2 + -1c = -16 + 5c Solving 2 + -1c = -16 + 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. 2 + -1c + -5c = -16 + 5c + -5c Combine like terms: -1c + -5c = -6c 2 + -6c = -16 + 5c + -5c Combine like terms: 5c + -5c = 0 2 + -6c = -16 + 0 2 + -6c = -16 Add '-2' to each side of the equation. 2 + -2 + -6c = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -6c = -16 + -2 -6c = -16 + -2 Combine like terms: -16 + -2 = -18 -6c = -18 Divide each side by '-6'. c = 3 Simplifying c = 3
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