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Simplifying -6(1 + 7r) = -40 + -8r (1 * -6 + 7r * -6) = -40 + -8r (-6 + -42r) = -40 + -8r Solving -6 + -42r = -40 + -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. -6 + -42r + 8r = -40 + -8r + 8r Combine like terms: -42r + 8r = -34r -6 + -34r = -40 + -8r + 8r Combine like terms: -8r + 8r = 0 -6 + -34r = -40 + 0 -6 + -34r = -40 Add '6' to each side of the equation. -6 + 6 + -34r = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -34r = -40 + 6 -34r = -40 + 6 Combine like terms: -40 + 6 = -34 -34r = -34 Divide each side by '-34'. r = 1 Simplifying r = 1
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