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Simplifying 7(4z + -2) = -26 + -9z Reorder the terms: 7(-2 + 4z) = -26 + -9z (-2 * 7 + 4z * 7) = -26 + -9z (-14 + 28z) = -26 + -9z Solving -14 + 28z = -26 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -14 + 28z + 9z = -26 + -9z + 9z Combine like terms: 28z + 9z = 37z -14 + 37z = -26 + -9z + 9z Combine like terms: -9z + 9z = 0 -14 + 37z = -26 + 0 -14 + 37z = -26 Add '14' to each side of the equation. -14 + 14 + 37z = -26 + 14 Combine like terms: -14 + 14 = 0 0 + 37z = -26 + 14 37z = -26 + 14 Combine like terms: -26 + 14 = -12 37z = -12 Divide each side by '37'. z = -0.3243243243 Simplifying z = -0.3243243243
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