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Simplifying 2(5c + -1) + -3 = 2c + 3 Reorder the terms: 2(-1 + 5c) + -3 = 2c + 3 (-1 * 2 + 5c * 2) + -3 = 2c + 3 (-2 + 10c) + -3 = 2c + 3 Reorder the terms: -2 + -3 + 10c = 2c + 3 Combine like terms: -2 + -3 = -5 -5 + 10c = 2c + 3 Reorder the terms: -5 + 10c = 3 + 2c Solving -5 + 10c = 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. -5 + 10c + -2c = 3 + 2c + -2c Combine like terms: 10c + -2c = 8c -5 + 8c = 3 + 2c + -2c Combine like terms: 2c + -2c = 0 -5 + 8c = 3 + 0 -5 + 8c = 3 Add '5' to each side of the equation. -5 + 5 + 8c = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 8c = 3 + 5 8c = 3 + 5 Combine like terms: 3 + 5 = 8 8c = 8 Divide each side by '8'. c = 1 Simplifying c = 1
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