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Simplifying 0.5(2c + -4) + 3 = 0.33(6c + 3) Reorder the terms: 0.5(-4 + 2c) + 3 = 0.33(6c + 3) (-4 * 0.5 + 2c * 0.5) + 3 = 0.33(6c + 3) (-2 + 1c) + 3 = 0.33(6c + 3) Reorder the terms: -2 + 3 + 1c = 0.33(6c + 3) Combine like terms: -2 + 3 = 1 1 + 1c = 0.33(6c + 3) Reorder the terms: 1 + 1c = 0.33(3 + 6c) 1 + 1c = (3 * 0.33 + 6c * 0.33) 1 + 1c = (0.99 + 1.98c) Solving 1 + 1c = 0.99 + 1.98c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1.98c' to each side of the equation. 1 + 1c + -1.98c = 0.99 + 1.98c + -1.98c Combine like terms: 1c + -1.98c = -0.98c 1 + -0.98c = 0.99 + 1.98c + -1.98c Combine like terms: 1.98c + -1.98c = 0.00 1 + -0.98c = 0.99 + 0.00 1 + -0.98c = 0.99 Add '-1' to each side of the equation. 1 + -1 + -0.98c = 0.99 + -1 Combine like terms: 1 + -1 = 0 0 + -0.98c = 0.99 + -1 -0.98c = 0.99 + -1 Combine like terms: 0.99 + -1 = -0.01 -0.98c = -0.01 Divide each side by '-0.98'. c = 0.01020408163 Simplifying c = 0.01020408163
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