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Simplifying -23 + -8c = 7(4c + 9) Reorder the terms: -23 + -8c = 7(9 + 4c) -23 + -8c = (9 * 7 + 4c * 7) -23 + -8c = (63 + 28c) Solving -23 + -8c = 63 + 28c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28c' to each side of the equation. -23 + -8c + -28c = 63 + 28c + -28c Combine like terms: -8c + -28c = -36c -23 + -36c = 63 + 28c + -28c Combine like terms: 28c + -28c = 0 -23 + -36c = 63 + 0 -23 + -36c = 63 Add '23' to each side of the equation. -23 + 23 + -36c = 63 + 23 Combine like terms: -23 + 23 = 0 0 + -36c = 63 + 23 -36c = 63 + 23 Combine like terms: 63 + 23 = 86 -36c = 86 Divide each side by '-36'. c = -2.388888889 Simplifying c = -2.388888889
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