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Simplifying 4(2c + -3) = 5(c + -2) Reorder the terms: 4(-3 + 2c) = 5(c + -2) (-3 * 4 + 2c * 4) = 5(c + -2) (-12 + 8c) = 5(c + -2) Reorder the terms: -12 + 8c = 5(-2 + c) -12 + 8c = (-2 * 5 + c * 5) -12 + 8c = (-10 + 5c) Solving -12 + 8c = -10 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -12 + 8c + -5c = -10 + 5c + -5c Combine like terms: 8c + -5c = 3c -12 + 3c = -10 + 5c + -5c Combine like terms: 5c + -5c = 0 -12 + 3c = -10 + 0 -12 + 3c = -10 Add '12' to each side of the equation. -12 + 12 + 3c = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 3c = -10 + 12 3c = -10 + 12 Combine like terms: -10 + 12 = 2 3c = 2 Divide each side by '3'. c = 0.6666666667 Simplifying c = 0.6666666667
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