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Simplifying 29 + 6c = 9(8c + -5) Reorder the terms: 29 + 6c = 9(-5 + 8c) 29 + 6c = (-5 * 9 + 8c * 9) 29 + 6c = (-45 + 72c) Solving 29 + 6c = -45 + 72c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-72c' to each side of the equation. 29 + 6c + -72c = -45 + 72c + -72c Combine like terms: 6c + -72c = -66c 29 + -66c = -45 + 72c + -72c Combine like terms: 72c + -72c = 0 29 + -66c = -45 + 0 29 + -66c = -45 Add '-29' to each side of the equation. 29 + -29 + -66c = -45 + -29 Combine like terms: 29 + -29 = 0 0 + -66c = -45 + -29 -66c = -45 + -29 Combine like terms: -45 + -29 = -74 -66c = -74 Divide each side by '-66'. c = 1.121212121 Simplifying c = 1.121212121
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