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Simplifying -6z + 16 = 2(4z + -6) Reorder the terms: 16 + -6z = 2(4z + -6) Reorder the terms: 16 + -6z = 2(-6 + 4z) 16 + -6z = (-6 * 2 + 4z * 2) 16 + -6z = (-12 + 8z) Solving 16 + -6z = -12 + 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. 16 + -6z + -8z = -12 + 8z + -8z Combine like terms: -6z + -8z = -14z 16 + -14z = -12 + 8z + -8z Combine like terms: 8z + -8z = 0 16 + -14z = -12 + 0 16 + -14z = -12 Add '-16' to each side of the equation. 16 + -16 + -14z = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -14z = -12 + -16 -14z = -12 + -16 Combine like terms: -12 + -16 = -28 -14z = -28 Divide each side by '-14'. z = 2 Simplifying z = 2
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