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Simplifying 0.75(c + -1) = 0.5(5c + -3) Reorder the terms: 0.75(-1 + c) = 0.5(5c + -3) (-1 * 0.75 + c * 0.75) = 0.5(5c + -3) (-0.75 + 0.75c) = 0.5(5c + -3) Reorder the terms: -0.75 + 0.75c = 0.5(-3 + 5c) -0.75 + 0.75c = (-3 * 0.5 + 5c * 0.5) -0.75 + 0.75c = (-1.5 + 2.5c) Solving -0.75 + 0.75c = -1.5 + 2.5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2.5c' to each side of the equation. -0.75 + 0.75c + -2.5c = -1.5 + 2.5c + -2.5c Combine like terms: 0.75c + -2.5c = -1.75c -0.75 + -1.75c = -1.5 + 2.5c + -2.5c Combine like terms: 2.5c + -2.5c = 0.0 -0.75 + -1.75c = -1.5 + 0.0 -0.75 + -1.75c = -1.5 Add '0.75' to each side of the equation. -0.75 + 0.75 + -1.75c = -1.5 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -1.75c = -1.5 + 0.75 -1.75c = -1.5 + 0.75 Combine like terms: -1.5 + 0.75 = -0.75 -1.75c = -0.75 Divide each side by '-1.75'. c = 0.4285714286 Simplifying c = 0.4285714286
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