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Simplifying 3z + -1(8 + -1z) = z + 7 3z + (8 * -1 + -1z * -1) = z + 7 3z + (-8 + 1z) = z + 7 Reorder the terms: -8 + 3z + 1z = z + 7 Combine like terms: 3z + 1z = 4z -8 + 4z = z + 7 Reorder the terms: -8 + 4z = 7 + z Solving -8 + 4z = 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 + 4z + -1z = 7 + z + -1z Combine like terms: 4z + -1z = 3z -8 + 3z = 7 + z + -1z Combine like terms: z + -1z = 0 -8 + 3z = 7 + 0 -8 + 3z = 7 Add '8' to each side of the equation. -8 + 8 + 3z = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3z = 7 + 8 3z = 7 + 8 Combine like terms: 7 + 8 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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