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Simplifying 14z + -6r + 23 + -8 = 0 Reorder the terms: 23 + -8 + -6r + 14z = 0 Combine like terms: 23 + -8 = 15 15 + -6r + 14z = 0 Solving 15 + -6r + 14z = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -6r + -15 + 14z = 0 + -15 Reorder the terms: 15 + -15 + -6r + 14z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -6r + 14z = 0 + -15 -6r + 14z = 0 + -15 Combine like terms: 0 + -15 = -15 -6r + 14z = -15 Add '-14z' to each side of the equation. -6r + 14z + -14z = -15 + -14z Combine like terms: 14z + -14z = 0 -6r + 0 = -15 + -14z -6r = -15 + -14z Divide each side by '-6'. r = 2.5 + 2.333333333z Simplifying r = 2.5 + 2.333333333z
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