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Simplifying 3(2c + -4) = 10c + -9 Reorder the terms: 3(-4 + 2c) = 10c + -9 (-4 * 3 + 2c * 3) = 10c + -9 (-12 + 6c) = 10c + -9 Reorder the terms: -12 + 6c = -9 + 10c Solving -12 + 6c = -9 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -12 + 6c + -10c = -9 + 10c + -10c Combine like terms: 6c + -10c = -4c -12 + -4c = -9 + 10c + -10c Combine like terms: 10c + -10c = 0 -12 + -4c = -9 + 0 -12 + -4c = -9 Add '12' to each side of the equation. -12 + 12 + -4c = -9 + 12 Combine like terms: -12 + 12 = 0 0 + -4c = -9 + 12 -4c = -9 + 12 Combine like terms: -9 + 12 = 3 -4c = 3 Divide each side by '-4'. c = -0.75 Simplifying c = -0.75
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