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Simplifying -2(2c + -4) = 0.333(-12c + 24) Reorder the terms: -2(-4 + 2c) = 0.333(-12c + 24) (-4 * -2 + 2c * -2) = 0.333(-12c + 24) (8 + -4c) = 0.333(-12c + 24) Reorder the terms: 8 + -4c = 0.333(24 + -12c) 8 + -4c = (24 * 0.333 + -12c * 0.333) 8 + -4c = (7.992 + -3.996c) Solving 8 + -4c = 7.992 + -3.996c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3.996c' to each side of the equation. 8 + -4c + 3.996c = 7.992 + -3.996c + 3.996c Combine like terms: -4c + 3.996c = -0.004c 8 + -0.004c = 7.992 + -3.996c + 3.996c Combine like terms: -3.996c + 3.996c = 0.000 8 + -0.004c = 7.992 + 0.000 8 + -0.004c = 7.992 Add '-8' to each side of the equation. 8 + -8 + -0.004c = 7.992 + -8 Combine like terms: 8 + -8 = 0 0 + -0.004c = 7.992 + -8 -0.004c = 7.992 + -8 Combine like terms: 7.992 + -8 = -0.008 -0.004c = -0.008 Divide each side by '-0.004'. c = 2 Simplifying c = 2
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