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Simplifying 2(c + -3) + 5 = 3c + -3 Reorder the terms: 2(-3 + c) + 5 = 3c + -3 (-3 * 2 + c * 2) + 5 = 3c + -3 (-6 + 2c) + 5 = 3c + -3 Reorder the terms: -6 + 5 + 2c = 3c + -3 Combine like terms: -6 + 5 = -1 -1 + 2c = 3c + -3 Reorder the terms: -1 + 2c = -3 + 3c Solving -1 + 2c = -3 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -1 + 2c + -3c = -3 + 3c + -3c Combine like terms: 2c + -3c = -1c -1 + -1c = -3 + 3c + -3c Combine like terms: 3c + -3c = 0 -1 + -1c = -3 + 0 -1 + -1c = -3 Add '1' to each side of the equation. -1 + 1 + -1c = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -1c = -3 + 1 -1c = -3 + 1 Combine like terms: -3 + 1 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2
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