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Simplifying -6 + -7(r + 4) = 6 + r Reorder the terms: -6 + -7(4 + r) = 6 + r -6 + (4 * -7 + r * -7) = 6 + r -6 + (-28 + -7r) = 6 + r Combine like terms: -6 + -28 = -34 -34 + -7r = 6 + r Solving -34 + -7r = 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. -34 + -7r + -1r = 6 + r + -1r Combine like terms: -7r + -1r = -8r -34 + -8r = 6 + r + -1r Combine like terms: r + -1r = 0 -34 + -8r = 6 + 0 -34 + -8r = 6 Add '34' to each side of the equation. -34 + 34 + -8r = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -8r = 6 + 34 -8r = 6 + 34 Combine like terms: 6 + 34 = 40 -8r = 40 Divide each side by '-8'. r = -5 Simplifying r = -5
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