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Simplifying 6(c + -1) = 9(c + -4) Reorder the terms: 6(-1 + c) = 9(c + -4) (-1 * 6 + c * 6) = 9(c + -4) (-6 + 6c) = 9(c + -4) Reorder the terms: -6 + 6c = 9(-4 + c) -6 + 6c = (-4 * 9 + c * 9) -6 + 6c = (-36 + 9c) Solving -6 + 6c = -36 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -6 + 6c + -9c = -36 + 9c + -9c Combine like terms: 6c + -9c = -3c -6 + -3c = -36 + 9c + -9c Combine like terms: 9c + -9c = 0 -6 + -3c = -36 + 0 -6 + -3c = -36 Add '6' to each side of the equation. -6 + 6 + -3c = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -3c = -36 + 6 -3c = -36 + 6 Combine like terms: -36 + 6 = -30 -3c = -30 Divide each side by '-3'. c = 10 Simplifying c = 10
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