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Simplifying 4(c + 3) = 2(9c + -0.5) Reorder the terms: 4(3 + c) = 2(9c + -0.5) (3 * 4 + c * 4) = 2(9c + -0.5) (12 + 4c) = 2(9c + -0.5) Reorder the terms: 12 + 4c = 2(-0.5 + 9c) 12 + 4c = (-0.5 * 2 + 9c * 2) 12 + 4c = (-1 + 18c) Solving 12 + 4c = -1 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 12 + 4c + -18c = -1 + 18c + -18c Combine like terms: 4c + -18c = -14c 12 + -14c = -1 + 18c + -18c Combine like terms: 18c + -18c = 0 12 + -14c = -1 + 0 12 + -14c = -1 Add '-12' to each side of the equation. 12 + -12 + -14c = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -14c = -1 + -12 -14c = -1 + -12 Combine like terms: -1 + -12 = -13 -14c = -13 Divide each side by '-14'. c = 0.9285714286 Simplifying c = 0.9285714286
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