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Simplifying 7z + 9 = 0.5(8x + -12) Reorder the terms: 9 + 7z = 0.5(8x + -12) Reorder the terms: 9 + 7z = 0.5(-12 + 8x) 9 + 7z = (-12 * 0.5 + 8x * 0.5) 9 + 7z = (-6 + 4x) Solving 9 + 7z = -6 + 4x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7z = -6 + -9 + 4x Combine like terms: 9 + -9 = 0 0 + 7z = -6 + -9 + 4x 7z = -6 + -9 + 4x Combine like terms: -6 + -9 = -15 7z = -15 + 4x Divide each side by '7'. z = -2.142857143 + 0.5714285714x Simplifying z = -2.142857143 + 0.5714285714x
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