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Simplifying 0.50(2r + 4) + -0.25(16 + -8r) = 0 Reorder the terms: 0.50(4 + 2r) + -0.25(16 + -8r) = 0 (4 * 0.50 + 2r * 0.50) + -0.25(16 + -8r) = 0 (2 + 1r) + -0.25(16 + -8r) = 0 2 + 1r + (16 * -0.25 + -8r * -0.25) = 0 2 + 1r + (-4 + 2r) = 0 Reorder the terms: 2 + -4 + 1r + 2r = 0 Combine like terms: 2 + -4 = -2 -2 + 1r + 2r = 0 Combine like terms: 1r + 2r = 3r -2 + 3r = 0 Solving -2 + 3r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3r = 0 + 2 3r = 0 + 2 Combine like terms: 0 + 2 = 2 3r = 2 Divide each side by '3'. r = 0.6666666667 Simplifying r = 0.6666666667
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