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Simplifying 2(45c + -6) = c + 34 Reorder the terms: 2(-6 + 45c) = c + 34 (-6 * 2 + 45c * 2) = c + 34 (-12 + 90c) = c + 34 Reorder the terms: -12 + 90c = 34 + c Solving -12 + 90c = 34 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -12 + 90c + -1c = 34 + c + -1c Combine like terms: 90c + -1c = 89c -12 + 89c = 34 + c + -1c Combine like terms: c + -1c = 0 -12 + 89c = 34 + 0 -12 + 89c = 34 Add '12' to each side of the equation. -12 + 12 + 89c = 34 + 12 Combine like terms: -12 + 12 = 0 0 + 89c = 34 + 12 89c = 34 + 12 Combine like terms: 34 + 12 = 46 89c = 46 Divide each side by '89'. c = 0.5168539326 Simplifying c = 0.5168539326
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