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Simplifying 34 = -5 + 8(r + 6) Reorder the terms: 34 = -5 + 8(6 + r) 34 = -5 + (6 * 8 + r * 8) 34 = -5 + (48 + 8r) Combine like terms: -5 + 48 = 43 34 = 43 + 8r Solving 34 = 43 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 34 + -8r = 43 + 8r + -8r Combine like terms: 8r + -8r = 0 34 + -8r = 43 + 0 34 + -8r = 43 Add '-34' to each side of the equation. 34 + -34 + -8r = 43 + -34 Combine like terms: 34 + -34 = 0 0 + -8r = 43 + -34 -8r = 43 + -34 Combine like terms: 43 + -34 = 9 -8r = 9 Divide each side by '-8'. r = -1.125 Simplifying r = -1.125
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