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Simplifying -1cz + -1zt + 6z + -83 = 0 Reorder the terms: -83 + -1cz + -1tz + 6z = 0 Solving -83 + -1cz + -1tz + 6z = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '83' to each side of the equation. -83 + -1cz + -1tz + 83 + 6z = 0 + 83 Reorder the terms: -83 + 83 + -1cz + -1tz + 6z = 0 + 83 Combine like terms: -83 + 83 = 0 0 + -1cz + -1tz + 6z = 0 + 83 -1cz + -1tz + 6z = 0 + 83 Combine like terms: 0 + 83 = 83 -1cz + -1tz + 6z = 83 Add 'tz' to each side of the equation. -1cz + -1tz + tz + 6z = 83 + tz Combine like terms: -1tz + tz = 0 -1cz + 0 + 6z = 83 + tz -1cz + 6z = 83 + tz Add '-6z' to each side of the equation. -1cz + 6z + -6z = 83 + tz + -6z Combine like terms: 6z + -6z = 0 -1cz + 0 = 83 + tz + -6z -1cz = 83 + tz + -6z Divide each side by '-1z'. c = -83z-1 + -1t + 6 Simplifying c = -83z-1 + -1t + 6 Reorder the terms: c = 6 + -1t + -83z-1
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