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Simplifying -1(-8 + r) + -1(1 + -5r) = 35 (-8 * -1 + r * -1) + -1(1 + -5r) = 35 (8 + -1r) + -1(1 + -5r) = 35 8 + -1r + (1 * -1 + -5r * -1) = 35 8 + -1r + (-1 + 5r) = 35 Reorder the terms: 8 + -1 + -1r + 5r = 35 Combine like terms: 8 + -1 = 7 7 + -1r + 5r = 35 Combine like terms: -1r + 5r = 4r 7 + 4r = 35 Solving 7 + 4r = 35 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4r = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4r = 35 + -7 4r = 35 + -7 Combine like terms: 35 + -7 = 28 4r = 28 Divide each side by '4'. r = 7 Simplifying r = 7
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