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Simplifying 7(9c + 6) = 20.5 + 95c Reorder the terms: 7(6 + 9c) = 20.5 + 95c (6 * 7 + 9c * 7) = 20.5 + 95c (42 + 63c) = 20.5 + 95c Solving 42 + 63c = 20.5 + 95c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-95c' to each side of the equation. 42 + 63c + -95c = 20.5 + 95c + -95c Combine like terms: 63c + -95c = -32c 42 + -32c = 20.5 + 95c + -95c Combine like terms: 95c + -95c = 0 42 + -32c = 20.5 + 0 42 + -32c = 20.5 Add '-42' to each side of the equation. 42 + -42 + -32c = 20.5 + -42 Combine like terms: 42 + -42 = 0 0 + -32c = 20.5 + -42 -32c = 20.5 + -42 Combine like terms: 20.5 + -42 = -21.5 -32c = -21.5 Divide each side by '-32'. c = 0.671875 Simplifying c = 0.671875
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