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Simplifying 6z + -18 + -4 + 21 = -12z + 24 + -14y Reorder the terms: -18 + -4 + 21 + 6z = -12z + 24 + -14y Combine like terms: -18 + -4 = -22 -22 + 21 + 6z = -12z + 24 + -14y Combine like terms: -22 + 21 = -1 -1 + 6z = -12z + 24 + -14y Reorder the terms: -1 + 6z = 24 + -14y + -12z Solving -1 + 6z = 24 + -14y + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -1 + 6z + 12z = 24 + -14y + -12z + 12z Combine like terms: 6z + 12z = 18z -1 + 18z = 24 + -14y + -12z + 12z Combine like terms: -12z + 12z = 0 -1 + 18z = 24 + -14y + 0 -1 + 18z = 24 + -14y Add '1' to each side of the equation. -1 + 1 + 18z = 24 + 1 + -14y Combine like terms: -1 + 1 = 0 0 + 18z = 24 + 1 + -14y 18z = 24 + 1 + -14y Combine like terms: 24 + 1 = 25 18z = 25 + -14y Divide each side by '18'. z = 1.388888889 + -0.7777777778y Simplifying z = 1.388888889 + -0.7777777778y
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