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Simplifying 7(r + -6) = -34 + 8r Reorder the terms: 7(-6 + r) = -34 + 8r (-6 * 7 + r * 7) = -34 + 8r (-42 + 7r) = -34 + 8r Solving -42 + 7r = -34 + 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. -42 + 7r + -8r = -34 + 8r + -8r Combine like terms: 7r + -8r = -1r -42 + -1r = -34 + 8r + -8r Combine like terms: 8r + -8r = 0 -42 + -1r = -34 + 0 -42 + -1r = -34 Add '42' to each side of the equation. -42 + 42 + -1r = -34 + 42 Combine like terms: -42 + 42 = 0 0 + -1r = -34 + 42 -1r = -34 + 42 Combine like terms: -34 + 42 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8
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