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Simplifying 5 + -1(c + 3) = -1 + 2(c + -3) Reorder the terms: 5 + -1(3 + c) = -1 + 2(c + -3) 5 + (3 * -1 + c * -1) = -1 + 2(c + -3) 5 + (-3 + -1c) = -1 + 2(c + -3) Combine like terms: 5 + -3 = 2 2 + -1c = -1 + 2(c + -3) Reorder the terms: 2 + -1c = -1 + 2(-3 + c) 2 + -1c = -1 + (-3 * 2 + c * 2) 2 + -1c = -1 + (-6 + 2c) Combine like terms: -1 + -6 = -7 2 + -1c = -7 + 2c Solving 2 + -1c = -7 + 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. 2 + -1c + -2c = -7 + 2c + -2c Combine like terms: -1c + -2c = -3c 2 + -3c = -7 + 2c + -2c Combine like terms: 2c + -2c = 0 2 + -3c = -7 + 0 2 + -3c = -7 Add '-2' to each side of the equation. 2 + -2 + -3c = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = -7 + -2 -3c = -7 + -2 Combine like terms: -7 + -2 = -9 -3c = -9 Divide each side by '-3'. c = 3 Simplifying c = 3
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