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Simplifying 5(r + -2) + -2(r + -7) = 5 Reorder the terms: 5(-2 + r) + -2(r + -7) = 5 (-2 * 5 + r * 5) + -2(r + -7) = 5 (-10 + 5r) + -2(r + -7) = 5 Reorder the terms: -10 + 5r + -2(-7 + r) = 5 -10 + 5r + (-7 * -2 + r * -2) = 5 -10 + 5r + (14 + -2r) = 5 Reorder the terms: -10 + 14 + 5r + -2r = 5 Combine like terms: -10 + 14 = 4 4 + 5r + -2r = 5 Combine like terms: 5r + -2r = 3r 4 + 3r = 5 Solving 4 + 3r = 5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3r = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 5 + -4 3r = 5 + -4 Combine like terms: 5 + -4 = 1 3r = 1 Divide each side by '3'. r = 0.3333333333 Simplifying r = 0.3333333333
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