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Simplifying -7(z + -6) = 12 Reorder the terms: -7(-6 + z) = 12 (-6 * -7 + z * -7) = 12 (42 + -7z) = 12 Solving 42 + -7z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -7z = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -7z = 12 + -42 -7z = 12 + -42 Combine like terms: 12 + -42 = -30 -7z = -30 Divide each side by '-7'. z = 4.285714286 Simplifying z = 4.285714286
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