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Simplifying 0.5(8c + -12) + -6 = 5c + -14 Reorder the terms: 0.5(-12 + 8c) + -6 = 5c + -14 (-12 * 0.5 + 8c * 0.5) + -6 = 5c + -14 (-6 + 4c) + -6 = 5c + -14 Reorder the terms: -6 + -6 + 4c = 5c + -14 Combine like terms: -6 + -6 = -12 -12 + 4c = 5c + -14 Reorder the terms: -12 + 4c = -14 + 5c Solving -12 + 4c = -14 + 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. -12 + 4c + -5c = -14 + 5c + -5c Combine like terms: 4c + -5c = -1c -12 + -1c = -14 + 5c + -5c Combine like terms: 5c + -5c = 0 -12 + -1c = -14 + 0 -12 + -1c = -14 Add '12' to each side of the equation. -12 + 12 + -1c = -14 + 12 Combine like terms: -12 + 12 = 0 0 + -1c = -14 + 12 -1c = -14 + 12 Combine like terms: -14 + 12 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2
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