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Simplifying -5(-11s + -7 + 8c) = 0 Reorder the terms: -5(-7 + 8c + -11s) = 0 (-7 * -5 + 8c * -5 + -11s * -5) = 0 (35 + -40c + 55s) = 0 Solving 35 + -40c + 55s = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -40c + -35 + 55s = 0 + -35 Reorder the terms: 35 + -35 + -40c + 55s = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -40c + 55s = 0 + -35 -40c + 55s = 0 + -35 Combine like terms: 0 + -35 = -35 -40c + 55s = -35 Add '-55s' to each side of the equation. -40c + 55s + -55s = -35 + -55s Combine like terms: 55s + -55s = 0 -40c + 0 = -35 + -55s -40c = -35 + -55s Divide each side by '-40'. c = 0.875 + 1.375s Simplifying c = 0.875 + 1.375s
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