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Simplifying -7c + -23 = 3(c + 9) Reorder the terms: -23 + -7c = 3(c + 9) Reorder the terms: -23 + -7c = 3(9 + c) -23 + -7c = (9 * 3 + c * 3) -23 + -7c = (27 + 3c) Solving -23 + -7c = 27 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -23 + -7c + -3c = 27 + 3c + -3c Combine like terms: -7c + -3c = -10c -23 + -10c = 27 + 3c + -3c Combine like terms: 3c + -3c = 0 -23 + -10c = 27 + 0 -23 + -10c = 27 Add '23' to each side of the equation. -23 + 23 + -10c = 27 + 23 Combine like terms: -23 + 23 = 0 0 + -10c = 27 + 23 -10c = 27 + 23 Combine like terms: 27 + 23 = 50 -10c = 50 Divide each side by '-10'. c = -5 Simplifying c = -5
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