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Simplifying 46(-3c + 4) = 2(c + 6) + c Reorder the terms: 46(4 + -3c) = 2(c + 6) + c (4 * 46 + -3c * 46) = 2(c + 6) + c (184 + -138c) = 2(c + 6) + c Reorder the terms: 184 + -138c = 2(6 + c) + c 184 + -138c = (6 * 2 + c * 2) + c 184 + -138c = (12 + 2c) + c Combine like terms: 2c + c = 3c 184 + -138c = 12 + 3c Solving 184 + -138c = 12 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 184 + -138c + -3c = 12 + 3c + -3c Combine like terms: -138c + -3c = -141c 184 + -141c = 12 + 3c + -3c Combine like terms: 3c + -3c = 0 184 + -141c = 12 + 0 184 + -141c = 12 Add '-184' to each side of the equation. 184 + -184 + -141c = 12 + -184 Combine like terms: 184 + -184 = 0 0 + -141c = 12 + -184 -141c = 12 + -184 Combine like terms: 12 + -184 = -172 -141c = -172 Divide each side by '-141'. c = 1.219858156 Simplifying c = 1.219858156
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