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Simplifying 5(c + -6) = 4(c + 4) Reorder the terms: 5(-6 + c) = 4(c + 4) (-6 * 5 + c * 5) = 4(c + 4) (-30 + 5c) = 4(c + 4) Reorder the terms: -30 + 5c = 4(4 + c) -30 + 5c = (4 * 4 + c * 4) -30 + 5c = (16 + 4c) Solving -30 + 5c = 16 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -30 + 5c + -4c = 16 + 4c + -4c Combine like terms: 5c + -4c = 1c -30 + 1c = 16 + 4c + -4c Combine like terms: 4c + -4c = 0 -30 + 1c = 16 + 0 -30 + 1c = 16 Add '30' to each side of the equation. -30 + 30 + 1c = 16 + 30 Combine like terms: -30 + 30 = 0 0 + 1c = 16 + 30 1c = 16 + 30 Combine like terms: 16 + 30 = 46 1c = 46 Divide each side by '1'. c = 46 Simplifying c = 46
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