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Simplifying 10(5r + -4) + 3(8r + 6) = 0 Reorder the terms: 10(-4 + 5r) + 3(8r + 6) = 0 (-4 * 10 + 5r * 10) + 3(8r + 6) = 0 (-40 + 50r) + 3(8r + 6) = 0 Reorder the terms: -40 + 50r + 3(6 + 8r) = 0 -40 + 50r + (6 * 3 + 8r * 3) = 0 -40 + 50r + (18 + 24r) = 0 Reorder the terms: -40 + 18 + 50r + 24r = 0 Combine like terms: -40 + 18 = -22 -22 + 50r + 24r = 0 Combine like terms: 50r + 24r = 74r -22 + 74r = 0 Solving -22 + 74r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 74r = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 74r = 0 + 22 74r = 0 + 22 Combine like terms: 0 + 22 = 22 74r = 22 Divide each side by '74'. r = 0.2972972973 Simplifying r = 0.2972972973
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