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Simplifying 816 = 17(z + 10) Reorder the terms: 816 = 17(10 + z) 816 = (10 * 17 + z * 17) 816 = (170 + 17z) Solving 816 = 170 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. 816 + -17z = 170 + 17z + -17z Combine like terms: 17z + -17z = 0 816 + -17z = 170 + 0 816 + -17z = 170 Add '-816' to each side of the equation. 816 + -816 + -17z = 170 + -816 Combine like terms: 816 + -816 = 0 0 + -17z = 170 + -816 -17z = 170 + -816 Combine like terms: 170 + -816 = -646 -17z = -646 Divide each side by '-17'. z = 38 Simplifying z = 38
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