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Simplifying 2 + -1(c + 3) = c + -5 Reorder the terms: 2 + -1(3 + c) = c + -5 2 + (3 * -1 + c * -1) = c + -5 2 + (-3 + -1c) = c + -5 Combine like terms: 2 + -3 = -1 -1 + -1c = c + -5 Reorder the terms: -1 + -1c = -5 + c Solving -1 + -1c = -5 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -1 + -1c + -1c = -5 + c + -1c Combine like terms: -1c + -1c = -2c -1 + -2c = -5 + c + -1c Combine like terms: c + -1c = 0 -1 + -2c = -5 + 0 -1 + -2c = -5 Add '1' to each side of the equation. -1 + 1 + -2c = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -2c = -5 + 1 -2c = -5 + 1 Combine like terms: -5 + 1 = -4 -2c = -4 Divide each side by '-2'. c = 2 Simplifying c = 2
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