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Simplifying -1r + 5r + -5(4r + -6) = 0 Reorder the terms: -1r + 5r + -5(-6 + 4r) = 0 -1r + 5r + (-6 * -5 + 4r * -5) = 0 -1r + 5r + (30 + -20r) = 0 Reorder the terms: 30 + -1r + 5r + -20r = 0 Combine like terms: -1r + 5r = 4r 30 + 4r + -20r = 0 Combine like terms: 4r + -20r = -16r 30 + -16r = 0 Solving 30 + -16r = 0 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 + -16r = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -16r = 0 + -30 -16r = 0 + -30 Combine like terms: 0 + -30 = -30 -16r = -30 Divide each side by '-16'. r = 1.875 Simplifying r = 1.875
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