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Simplifying 2c + -3 = 8c + -45 Reorder the terms: -3 + 2c = 8c + -45 Reorder the terms: -3 + 2c = -45 + 8c Solving -3 + 2c = -45 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -3 + 2c + -8c = -45 + 8c + -8c Combine like terms: 2c + -8c = -6c -3 + -6c = -45 + 8c + -8c Combine like terms: 8c + -8c = 0 -3 + -6c = -45 + 0 -3 + -6c = -45 Add '3' to each side of the equation. -3 + 3 + -6c = -45 + 3 Combine like terms: -3 + 3 = 0 0 + -6c = -45 + 3 -6c = -45 + 3 Combine like terms: -45 + 3 = -42 -6c = -42 Divide each side by '-6'. c = 7 Simplifying c = 7
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