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Simplifying 3(z + -2) + 4z = 8 + z + 1 + -1z Reorder the terms: 3(-2 + z) + 4z = 8 + z + 1 + -1z (-2 * 3 + z * 3) + 4z = 8 + z + 1 + -1z (-6 + 3z) + 4z = 8 + z + 1 + -1z Combine like terms: 3z + 4z = 7z -6 + 7z = 8 + z + 1 + -1z Reorder the terms: -6 + 7z = 8 + 1 + z + -1z Combine like terms: 8 + 1 = 9 -6 + 7z = 9 + z + -1z Combine like terms: z + -1z = 0 -6 + 7z = 9 + 0 -6 + 7z = 9 Solving -6 + 7z = 9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7z = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 7z = 9 + 6 7z = 9 + 6 Combine like terms: 9 + 6 = 15 7z = 15 Divide each side by '7'. z = 2.142857143 Simplifying z = 2.142857143
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