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Simplifying 6(c + -9) = 4(c + -5) Reorder the terms: 6(-9 + c) = 4(c + -5) (-9 * 6 + c * 6) = 4(c + -5) (-54 + 6c) = 4(c + -5) Reorder the terms: -54 + 6c = 4(-5 + c) -54 + 6c = (-5 * 4 + c * 4) -54 + 6c = (-20 + 4c) Solving -54 + 6c = -20 + 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. -54 + 6c + -4c = -20 + 4c + -4c Combine like terms: 6c + -4c = 2c -54 + 2c = -20 + 4c + -4c Combine like terms: 4c + -4c = 0 -54 + 2c = -20 + 0 -54 + 2c = -20 Add '54' to each side of the equation. -54 + 54 + 2c = -20 + 54 Combine like terms: -54 + 54 = 0 0 + 2c = -20 + 54 2c = -20 + 54 Combine like terms: -20 + 54 = 34 2c = 34 Divide each side by '2'. c = 17 Simplifying c = 17
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