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Simplifying -10z + -11c + 7 + 4c + -12z + 9 = 0 Reorder the terms: 7 + 9 + -11c + 4c + -10z + -12z = 0 Combine like terms: 7 + 9 = 16 16 + -11c + 4c + -10z + -12z = 0 Combine like terms: -11c + 4c = -7c 16 + -7c + -10z + -12z = 0 Combine like terms: -10z + -12z = -22z 16 + -7c + -22z = 0 Solving 16 + -7c + -22z = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -7c + -16 + -22z = 0 + -16 Reorder the terms: 16 + -16 + -7c + -22z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -7c + -22z = 0 + -16 -7c + -22z = 0 + -16 Combine like terms: 0 + -16 = -16 -7c + -22z = -16 Add '22z' to each side of the equation. -7c + -22z + 22z = -16 + 22z Combine like terms: -22z + 22z = 0 -7c + 0 = -16 + 22z -7c = -16 + 22z Divide each side by '-7'. c = 2.285714286 + -3.142857143z Simplifying c = 2.285714286 + -3.142857143z
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