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Simplifying 2(r + -4) + 5(r + -2) = 0 Reorder the terms: 2(-4 + r) + 5(r + -2) = 0 (-4 * 2 + r * 2) + 5(r + -2) = 0 (-8 + 2r) + 5(r + -2) = 0 Reorder the terms: -8 + 2r + 5(-2 + r) = 0 -8 + 2r + (-2 * 5 + r * 5) = 0 -8 + 2r + (-10 + 5r) = 0 Reorder the terms: -8 + -10 + 2r + 5r = 0 Combine like terms: -8 + -10 = -18 -18 + 2r + 5r = 0 Combine like terms: 2r + 5r = 7r -18 + 7r = 0 Solving -18 + 7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7r = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7r = 0 + 18 7r = 0 + 18 Combine like terms: 0 + 18 = 18 7r = 18 Divide each side by '7'. r = 2.571428571 Simplifying r = 2.571428571
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