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Simplifying 14 + 6z = 8(z + -1) Reorder the terms: 14 + 6z = 8(-1 + z) 14 + 6z = (-1 * 8 + z * 8) 14 + 6z = (-8 + 8z) Solving 14 + 6z = -8 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 14 + 6z + -8z = -8 + 8z + -8z Combine like terms: 6z + -8z = -2z 14 + -2z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 14 + -2z = -8 + 0 14 + -2z = -8 Add '-14' to each side of the equation. 14 + -14 + -2z = -8 + -14 Combine like terms: 14 + -14 = 0 0 + -2z = -8 + -14 -2z = -8 + -14 Combine like terms: -8 + -14 = -22 -2z = -22 Divide each side by '-2'. z = 11 Simplifying z = 11
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