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Simplifying 5(r + 9) + -8(r + 5) = -13 Reorder the terms: 5(9 + r) + -8(r + 5) = -13 (9 * 5 + r * 5) + -8(r + 5) = -13 (45 + 5r) + -8(r + 5) = -13 Reorder the terms: 45 + 5r + -8(5 + r) = -13 45 + 5r + (5 * -8 + r * -8) = -13 45 + 5r + (-40 + -8r) = -13 Reorder the terms: 45 + -40 + 5r + -8r = -13 Combine like terms: 45 + -40 = 5 5 + 5r + -8r = -13 Combine like terms: 5r + -8r = -3r 5 + -3r = -13 Solving 5 + -3r = -13 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3r = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -3r = -13 + -5 -3r = -13 + -5 Combine like terms: -13 + -5 = -18 -3r = -18 Divide each side by '-3'. r = 6 Simplifying r = 6
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