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Simplifying 4(c + 4) = 6c + 10 Reorder the terms: 4(4 + c) = 6c + 10 (4 * 4 + c * 4) = 6c + 10 (16 + 4c) = 6c + 10 Reorder the terms: 16 + 4c = 10 + 6c Solving 16 + 4c = 10 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 16 + 4c + -6c = 10 + 6c + -6c Combine like terms: 4c + -6c = -2c 16 + -2c = 10 + 6c + -6c Combine like terms: 6c + -6c = 0 16 + -2c = 10 + 0 16 + -2c = 10 Add '-16' to each side of the equation. 16 + -16 + -2c = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -2c = 10 + -16 -2c = 10 + -16 Combine like terms: 10 + -16 = -6 -2c = -6 Divide each side by '-2'. c = 3 Simplifying c = 3
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