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Simplifying 7 + -1(r + 7) = 5r + 5a Reorder the terms: 7 + -1(7 + r) = 5r + 5a 7 + (7 * -1 + r * -1) = 5r + 5a 7 + (-7 + -1r) = 5r + 5a Combine like terms: 7 + -7 = 0 0 + -1r = 5r + 5a -1r = 5r + 5a Reorder the terms: -1r = 5a + 5r Solving -1r = 5a + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -1r + -5r = 5a + 5r + -5r Combine like terms: -1r + -5r = -6r -6r = 5a + 5r + -5r Combine like terms: 5r + -5r = 0 -6r = 5a + 0 -6r = 5a Divide each side by '-6'. r = -0.8333333333a Simplifying r = -0.8333333333a
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