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Simplifying 9(8 + 5) = (c * 8) + (c * 5) Combine like terms: 8 + 5 = 13 9(13) = (c * 8) + (c * 5) Multiply 9 * 13 117 = (c * 8) + (c * 5) Reorder the terms for easier multiplication: 117 = (8c) + (c * 5) Reorder the terms for easier multiplication: 117 = (8c) + (5c) Combine like terms: (8c) + (5c) = 13c 117 = 13c Solving 117 = 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. 117 + -13c = 13c + -13c Combine like terms: 13c + -13c = 0 117 + -13c = 0 Add '-117' to each side of the equation. 117 + -117 + -13c = 0 + -117 Combine like terms: 117 + -117 = 0 0 + -13c = 0 + -117 -13c = 0 + -117 Combine like terms: 0 + -117 = -117 -13c = -117 Divide each side by '-13'. c = 9 Simplifying c = 9
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