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Simplifying 10(z + -8) = -35 + z Reorder the terms: 10(-8 + z) = -35 + z (-8 * 10 + z * 10) = -35 + z (-80 + 10z) = -35 + z Solving -80 + 10z = -35 + 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. -80 + 10z + -1z = -35 + z + -1z Combine like terms: 10z + -1z = 9z -80 + 9z = -35 + z + -1z Combine like terms: z + -1z = 0 -80 + 9z = -35 + 0 -80 + 9z = -35 Add '80' to each side of the equation. -80 + 80 + 9z = -35 + 80 Combine like terms: -80 + 80 = 0 0 + 9z = -35 + 80 9z = -35 + 80 Combine like terms: -35 + 80 = 45 9z = 45 Divide each side by '9'. z = 5 Simplifying z = 5
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