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Simplifying 4 = 4(c + 10) Reorder the terms: 4 = 4(10 + c) 4 = (10 * 4 + c * 4) 4 = (40 + 4c) Solving 4 = 40 + 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. 4 + -4c = 40 + 4c + -4c Combine like terms: 4c + -4c = 0 4 + -4c = 40 + 0 4 + -4c = 40 Add '-4' to each side of the equation. 4 + -4 + -4c = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -4c = 40 + -4 -4c = 40 + -4 Combine like terms: 40 + -4 = 36 -4c = 36 Divide each side by '-4'. c = -9 Simplifying c = -9
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