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Simplifying 8 + 5z = 2(3z + -7) Reorder the terms: 8 + 5z = 2(-7 + 3z) 8 + 5z = (-7 * 2 + 3z * 2) 8 + 5z = (-14 + 6z) Solving 8 + 5z = -14 + 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. 8 + 5z + -6z = -14 + 6z + -6z Combine like terms: 5z + -6z = -1z 8 + -1z = -14 + 6z + -6z Combine like terms: 6z + -6z = 0 8 + -1z = -14 + 0 8 + -1z = -14 Add '-8' to each side of the equation. 8 + -8 + -1z = -14 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = -14 + -8 -1z = -14 + -8 Combine like terms: -14 + -8 = -22 -1z = -22 Divide each side by '-1'. z = 22 Simplifying z = 22
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