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Simplifying 3z + 4(z + -2) = 7 + z Reorder the terms: 3z + 4(-2 + z) = 7 + z 3z + (-2 * 4 + z * 4) = 7 + z 3z + (-8 + 4z) = 7 + z Reorder the terms: -8 + 3z + 4z = 7 + z Combine like terms: 3z + 4z = 7z -8 + 7z = 7 + z Solving -8 + 7z = 7 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -8 + 7z + -1z = 7 + z + -1z Combine like terms: 7z + -1z = 6z -8 + 6z = 7 + z + -1z Combine like terms: z + -1z = 0 -8 + 6z = 7 + 0 -8 + 6z = 7 Add '8' to each side of the equation. -8 + 8 + 6z = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 6z = 7 + 8 6z = 7 + 8 Combine like terms: 7 + 8 = 15 6z = 15 Divide each side by '6'. z = 2.5 Simplifying z = 2.5
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