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Simplifying -7(5r + -8) + 6 = 167 Reorder the terms: -7(-8 + 5r) + 6 = 167 (-8 * -7 + 5r * -7) + 6 = 167 (56 + -35r) + 6 = 167 Reorder the terms: 56 + 6 + -35r = 167 Combine like terms: 56 + 6 = 62 62 + -35r = 167 Solving 62 + -35r = 167 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -35r = 167 + -62 Combine like terms: 62 + -62 = 0 0 + -35r = 167 + -62 -35r = 167 + -62 Combine like terms: 167 + -62 = 105 -35r = 105 Divide each side by '-35'. r = -3 Simplifying r = -3
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