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Simplifying 3(1c + -2) = 2(1c + -6) Reorder the terms: 3(-2 + 1c) = 2(1c + -6) (-2 * 3 + 1c * 3) = 2(1c + -6) (-6 + 3c) = 2(1c + -6) Reorder the terms: -6 + 3c = 2(-6 + 1c) -6 + 3c = (-6 * 2 + 1c * 2) -6 + 3c = (-12 + 2c) Solving -6 + 3c = -12 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -6 + 3c + -2c = -12 + 2c + -2c Combine like terms: 3c + -2c = 1c -6 + 1c = -12 + 2c + -2c Combine like terms: 2c + -2c = 0 -6 + 1c = -12 + 0 -6 + 1c = -12 Add '6' to each side of the equation. -6 + 6 + 1c = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 1c = -12 + 6 1c = -12 + 6 Combine like terms: -12 + 6 = -6 1c = -6 Divide each side by '1'. c = -6 Simplifying c = -6
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