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Simplifying 2(2c + -1) = 4(3c + -2) Reorder the terms: 2(-1 + 2c) = 4(3c + -2) (-1 * 2 + 2c * 2) = 4(3c + -2) (-2 + 4c) = 4(3c + -2) Reorder the terms: -2 + 4c = 4(-2 + 3c) -2 + 4c = (-2 * 4 + 3c * 4) -2 + 4c = (-8 + 12c) Solving -2 + 4c = -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. -2 + 4c + -12c = -8 + 12c + -12c Combine like terms: 4c + -12c = -8c -2 + -8c = -8 + 12c + -12c Combine like terms: 12c + -12c = 0 -2 + -8c = -8 + 0 -2 + -8c = -8 Add '2' to each side of the equation. -2 + 2 + -8c = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -8c = -8 + 2 -8c = -8 + 2 Combine like terms: -8 + 2 = -6 -8c = -6 Divide each side by '-8'. c = 0.75 Simplifying c = 0.75
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