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Simplifying -8(2r + -5) = 6 + r Reorder the terms: -8(-5 + 2r) = 6 + r (-5 * -8 + 2r * -8) = 6 + r (40 + -16r) = 6 + r Solving 40 + -16r = 6 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 40 + -16r + -1r = 6 + r + -1r Combine like terms: -16r + -1r = -17r 40 + -17r = 6 + r + -1r Combine like terms: r + -1r = 0 40 + -17r = 6 + 0 40 + -17r = 6 Add '-40' to each side of the equation. 40 + -40 + -17r = 6 + -40 Combine like terms: 40 + -40 = 0 0 + -17r = 6 + -40 -17r = 6 + -40 Combine like terms: 6 + -40 = -34 -17r = -34 Divide each side by '-17'. r = 2 Simplifying r = 2
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