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Simplifying 5 + -6z = -3(z + -6) + 5 Reorder the terms: 5 + -6z = -3(-6 + z) + 5 5 + -6z = (-6 * -3 + z * -3) + 5 5 + -6z = (18 + -3z) + 5 Reorder the terms: 5 + -6z = 18 + 5 + -3z Combine like terms: 18 + 5 = 23 5 + -6z = 23 + -3z Solving 5 + -6z = 23 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 5 + -6z + 3z = 23 + -3z + 3z Combine like terms: -6z + 3z = -3z 5 + -3z = 23 + -3z + 3z Combine like terms: -3z + 3z = 0 5 + -3z = 23 + 0 5 + -3z = 23 Add '-5' to each side of the equation. 5 + -5 + -3z = 23 + -5 Combine like terms: 5 + -5 = 0 0 + -3z = 23 + -5 -3z = 23 + -5 Combine like terms: 23 + -5 = 18 -3z = 18 Divide each side by '-3'. z = -6 Simplifying z = -6
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