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Simplifying 2(3c + -2) + -5 = 2c + 3 Reorder the terms: 2(-2 + 3c) + -5 = 2c + 3 (-2 * 2 + 3c * 2) + -5 = 2c + 3 (-4 + 6c) + -5 = 2c + 3 Reorder the terms: -4 + -5 + 6c = 2c + 3 Combine like terms: -4 + -5 = -9 -9 + 6c = 2c + 3 Reorder the terms: -9 + 6c = 3 + 2c Solving -9 + 6c = 3 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -9 + 6c + -2c = 3 + 2c + -2c Combine like terms: 6c + -2c = 4c -9 + 4c = 3 + 2c + -2c Combine like terms: 2c + -2c = 0 -9 + 4c = 3 + 0 -9 + 4c = 3 Add '9' to each side of the equation. -9 + 9 + 4c = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 4c = 3 + 9 4c = 3 + 9 Combine like terms: 3 + 9 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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