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Simplifying 8z + -15 = 5(6 + z) Reorder the terms: -15 + 8z = 5(6 + z) -15 + 8z = (6 * 5 + z * 5) -15 + 8z = (30 + 5z) Solving -15 + 8z = 30 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -15 + 8z + -5z = 30 + 5z + -5z Combine like terms: 8z + -5z = 3z -15 + 3z = 30 + 5z + -5z Combine like terms: 5z + -5z = 0 -15 + 3z = 30 + 0 -15 + 3z = 30 Add '15' to each side of the equation. -15 + 15 + 3z = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 3z = 30 + 15 3z = 30 + 15 Combine like terms: 30 + 15 = 45 3z = 45 Divide each side by '3'. z = 15 Simplifying z = 15
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