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Simplifying 5(r + 6) = 4(z + 4) Reorder the terms: 5(6 + r) = 4(z + 4) (6 * 5 + r * 5) = 4(z + 4) (30 + 5r) = 4(z + 4) Reorder the terms: 30 + 5r = 4(4 + z) 30 + 5r = (4 * 4 + z * 4) 30 + 5r = (16 + 4z) Solving 30 + 5r = 16 + 4z Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5r = 16 + -30 + 4z Combine like terms: 30 + -30 = 0 0 + 5r = 16 + -30 + 4z 5r = 16 + -30 + 4z Combine like terms: 16 + -30 = -14 5r = -14 + 4z Divide each side by '5'. r = -2.8 + 0.8z Simplifying r = -2.8 + 0.8z
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