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Simplifying 8c + 1 + -3c = 3 + -5(c + 3) Reorder the terms: 1 + 8c + -3c = 3 + -5(c + 3) Combine like terms: 8c + -3c = 5c 1 + 5c = 3 + -5(c + 3) Reorder the terms: 1 + 5c = 3 + -5(3 + c) 1 + 5c = 3 + (3 * -5 + c * -5) 1 + 5c = 3 + (-15 + -5c) Combine like terms: 3 + -15 = -12 1 + 5c = -12 + -5c Solving 1 + 5c = -12 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 1 + 5c + 5c = -12 + -5c + 5c Combine like terms: 5c + 5c = 10c 1 + 10c = -12 + -5c + 5c Combine like terms: -5c + 5c = 0 1 + 10c = -12 + 0 1 + 10c = -12 Add '-1' to each side of the equation. 1 + -1 + 10c = -12 + -1 Combine like terms: 1 + -1 = 0 0 + 10c = -12 + -1 10c = -12 + -1 Combine like terms: -12 + -1 = -13 10c = -13 Divide each side by '10'. c = -1.3 Simplifying c = -1.3
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