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Simplifying (7y + 6z) + (4y + -2Z) = 0 Remove parenthesis around (7y + 6z) 7y + 6z + (4y + -2Z) = 0 Reorder the terms: 7y + 6z + (-2Z + 4y) = 0 Remove parenthesis around (-2Z + 4y) 7y + 6z + -2Z + 4y = 0 Reorder the terms: -2Z + 7y + 4y + 6z = 0 Combine like terms: 7y + 4y = 11y -2Z + 11y + 6z = 0 Solving -2Z + 11y + 6z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-11y' to each side of the equation. -2Z + 11y + -11y + 6z = 0 + -11y Combine like terms: 11y + -11y = 0 -2Z + 0 + 6z = 0 + -11y -2Z + 6z = 0 + -11y Remove the zero: -2Z + 6z = -11y Add '-6z' to each side of the equation. -2Z + 6z + -6z = -11y + -6z Combine like terms: 6z + -6z = 0 -2Z + 0 = -11y + -6z -2Z = -11y + -6z Divide each side by '-2'. Z = 5.5y + 3z Simplifying Z = 5.5y + 3z
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