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Simplifying 341 = -7(-5r + -8) + 5 Reorder the terms: 341 = -7(-8 + -5r) + 5 341 = (-8 * -7 + -5r * -7) + 5 341 = (56 + 35r) + 5 Reorder the terms: 341 = 56 + 5 + 35r Combine like terms: 56 + 5 = 61 341 = 61 + 35r Solving 341 = 61 + 35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35r' to each side of the equation. 341 + -35r = 61 + 35r + -35r Combine like terms: 35r + -35r = 0 341 + -35r = 61 + 0 341 + -35r = 61 Add '-341' to each side of the equation. 341 + -341 + -35r = 61 + -341 Combine like terms: 341 + -341 = 0 0 + -35r = 61 + -341 -35r = 61 + -341 Combine like terms: 61 + -341 = -280 -35r = -280 Divide each side by '-35'. r = 8 Simplifying r = 8
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