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Simplifying 8z + -26 = 3(2z + -4) Reorder the terms: -26 + 8z = 3(2z + -4) Reorder the terms: -26 + 8z = 3(-4 + 2z) -26 + 8z = (-4 * 3 + 2z * 3) -26 + 8z = (-12 + 6z) Solving -26 + 8z = -12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -26 + 8z + -6z = -12 + 6z + -6z Combine like terms: 8z + -6z = 2z -26 + 2z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 -26 + 2z = -12 + 0 -26 + 2z = -12 Add '26' to each side of the equation. -26 + 26 + 2z = -12 + 26 Combine like terms: -26 + 26 = 0 0 + 2z = -12 + 26 2z = -12 + 26 Combine like terms: -12 + 26 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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