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Simplifying 9c + -6 = 3(c * 2) + 18 Reorder the terms: -6 + 9c = 3(c * 2) + 18 Reorder the terms for easier multiplication: -6 + 9c = 3(2c) + 18 Remove parenthesis around (2c) -6 + 9c = 3 * 2c + 18 Multiply 3 * 2 -6 + 9c = 6c + 18 Reorder the terms: -6 + 9c = 18 + 6c Solving -6 + 9c = 18 + 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. -6 + 9c + -6c = 18 + 6c + -6c Combine like terms: 9c + -6c = 3c -6 + 3c = 18 + 6c + -6c Combine like terms: 6c + -6c = 0 -6 + 3c = 18 + 0 -6 + 3c = 18 Add '6' to each side of the equation. -6 + 6 + 3c = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 3c = 18 + 6 3c = 18 + 6 Combine like terms: 18 + 6 = 24 3c = 24 Divide each side by '3'. c = 8 Simplifying c = 8
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