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Simplifying 5(2c + -1) = 4(3c + -2) Reorder the terms: 5(-1 + 2c) = 4(3c + -2) (-1 * 5 + 2c * 5) = 4(3c + -2) (-5 + 10c) = 4(3c + -2) Reorder the terms: -5 + 10c = 4(-2 + 3c) -5 + 10c = (-2 * 4 + 3c * 4) -5 + 10c = (-8 + 12c) Solving -5 + 10c = -8 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -5 + 10c + -12c = -8 + 12c + -12c Combine like terms: 10c + -12c = -2c -5 + -2c = -8 + 12c + -12c Combine like terms: 12c + -12c = 0 -5 + -2c = -8 + 0 -5 + -2c = -8 Add '5' to each side of the equation. -5 + 5 + -2c = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -2c = -8 + 5 -2c = -8 + 5 Combine like terms: -8 + 5 = -3 -2c = -3 Divide each side by '-2'. c = 1.5 Simplifying c = 1.5
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