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Simplifying 5(-3c + -9) = -9 + -13c Reorder the terms: 5(-9 + -3c) = -9 + -13c (-9 * 5 + -3c * 5) = -9 + -13c (-45 + -15c) = -9 + -13c Solving -45 + -15c = -9 + -13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '13c' to each side of the equation. -45 + -15c + 13c = -9 + -13c + 13c Combine like terms: -15c + 13c = -2c -45 + -2c = -9 + -13c + 13c Combine like terms: -13c + 13c = 0 -45 + -2c = -9 + 0 -45 + -2c = -9 Add '45' to each side of the equation. -45 + 45 + -2c = -9 + 45 Combine like terms: -45 + 45 = 0 0 + -2c = -9 + 45 -2c = -9 + 45 Combine like terms: -9 + 45 = 36 -2c = 36 Divide each side by '-2'. c = -18 Simplifying c = -18
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