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Simplifying 9(7c + -5) = 6(8c + 9) Reorder the terms: 9(-5 + 7c) = 6(8c + 9) (-5 * 9 + 7c * 9) = 6(8c + 9) (-45 + 63c) = 6(8c + 9) Reorder the terms: -45 + 63c = 6(9 + 8c) -45 + 63c = (9 * 6 + 8c * 6) -45 + 63c = (54 + 48c) Solving -45 + 63c = 54 + 48c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48c' to each side of the equation. -45 + 63c + -48c = 54 + 48c + -48c Combine like terms: 63c + -48c = 15c -45 + 15c = 54 + 48c + -48c Combine like terms: 48c + -48c = 0 -45 + 15c = 54 + 0 -45 + 15c = 54 Add '45' to each side of the equation. -45 + 45 + 15c = 54 + 45 Combine like terms: -45 + 45 = 0 0 + 15c = 54 + 45 15c = 54 + 45 Combine like terms: 54 + 45 = 99 15c = 99 Divide each side by '15'. c = 6.6 Simplifying c = 6.6
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