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Simplifying 5(2c + -5) + -3 = 6c + 8 Reorder the terms: 5(-5 + 2c) + -3 = 6c + 8 (-5 * 5 + 2c * 5) + -3 = 6c + 8 (-25 + 10c) + -3 = 6c + 8 Reorder the terms: -25 + -3 + 10c = 6c + 8 Combine like terms: -25 + -3 = -28 -28 + 10c = 6c + 8 Reorder the terms: -28 + 10c = 8 + 6c Solving -28 + 10c = 8 + 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. -28 + 10c + -6c = 8 + 6c + -6c Combine like terms: 10c + -6c = 4c -28 + 4c = 8 + 6c + -6c Combine like terms: 6c + -6c = 0 -28 + 4c = 8 + 0 -28 + 4c = 8 Add '28' to each side of the equation. -28 + 28 + 4c = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 4c = 8 + 28 4c = 8 + 28 Combine like terms: 8 + 28 = 36 4c = 36 Divide each side by '4'. c = 9 Simplifying c = 9
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