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Simplifying 4(c + -3) = 3(8 + c) Reorder the terms: 4(-3 + c) = 3(8 + c) (-3 * 4 + c * 4) = 3(8 + c) (-12 + 4c) = 3(8 + c) -12 + 4c = (8 * 3 + c * 3) -12 + 4c = (24 + 3c) Solving -12 + 4c = 24 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -12 + 4c + -3c = 24 + 3c + -3c Combine like terms: 4c + -3c = 1c -12 + 1c = 24 + 3c + -3c Combine like terms: 3c + -3c = 0 -12 + 1c = 24 + 0 -12 + 1c = 24 Add '12' to each side of the equation. -12 + 12 + 1c = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 1c = 24 + 12 1c = 24 + 12 Combine like terms: 24 + 12 = 36 1c = 36 Divide each side by '1'. c = 36 Simplifying c = 36
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