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Simplifying 9(c + -5) + 3 = 2 + c + -44 Reorder the terms: 9(-5 + c) + 3 = 2 + c + -44 (-5 * 9 + c * 9) + 3 = 2 + c + -44 (-45 + 9c) + 3 = 2 + c + -44 Reorder the terms: -45 + 3 + 9c = 2 + c + -44 Combine like terms: -45 + 3 = -42 -42 + 9c = 2 + c + -44 Reorder the terms: -42 + 9c = 2 + -44 + c Combine like terms: 2 + -44 = -42 -42 + 9c = -42 + c Add '42' to each side of the equation. -42 + 42 + 9c = -42 + 42 + c Combine like terms: -42 + 42 = 0 0 + 9c = -42 + 42 + c 9c = -42 + 42 + c Combine like terms: -42 + 42 = 0 9c = 0 + c 9c = c Solving 9c = 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. 9c + -1c = c + -1c Combine like terms: 9c + -1c = 8c 8c = c + -1c Combine like terms: c + -1c = 0 8c = 0 Divide each side by '8'. c = 0 Simplifying c = 0
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