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Simplifying 4c + 13 = -6c + 9 Reorder the terms: 13 + 4c = -6c + 9 Reorder the terms: 13 + 4c = 9 + -6c Solving 13 + 4c = 9 + -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. 13 + 4c + 6c = 9 + -6c + 6c Combine like terms: 4c + 6c = 10c 13 + 10c = 9 + -6c + 6c Combine like terms: -6c + 6c = 0 13 + 10c = 9 + 0 13 + 10c = 9 Add '-13' to each side of the equation. 13 + -13 + 10c = 9 + -13 Combine like terms: 13 + -13 = 0 0 + 10c = 9 + -13 10c = 9 + -13 Combine like terms: 9 + -13 = -4 10c = -4 Divide each side by '10'. c = -0.4 Simplifying c = -0.4
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