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Simplifying 6z + 4c + 4 + 2c + 7z + 3 = 0 Reorder the terms: 4 + 3 + 4c + 2c + 6z + 7z = 0 Combine like terms: 4 + 3 = 7 7 + 4c + 2c + 6z + 7z = 0 Combine like terms: 4c + 2c = 6c 7 + 6c + 6z + 7z = 0 Combine like terms: 6z + 7z = 13z 7 + 6c + 13z = 0 Solving 7 + 6c + 13z = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6c + -7 + 13z = 0 + -7 Reorder the terms: 7 + -7 + 6c + 13z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6c + 13z = 0 + -7 6c + 13z = 0 + -7 Combine like terms: 0 + -7 = -7 6c + 13z = -7 Add '-13z' to each side of the equation. 6c + 13z + -13z = -7 + -13z Combine like terms: 13z + -13z = 0 6c + 0 = -7 + -13z 6c = -7 + -13z Divide each side by '6'. c = -1.166666667 + -2.166666667z Simplifying c = -1.166666667 + -2.166666667z
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