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Simplifying 8r + -1(3r + -6) + -1(r + -7) = 0 Reorder the terms: 8r + -1(-6 + 3r) + -1(r + -7) = 0 8r + (-6 * -1 + 3r * -1) + -1(r + -7) = 0 8r + (6 + -3r) + -1(r + -7) = 0 Reorder the terms: 8r + 6 + -3r + -1(-7 + r) = 0 8r + 6 + -3r + (-7 * -1 + r * -1) = 0 8r + 6 + -3r + (7 + -1r) = 0 Reorder the terms: 6 + 7 + 8r + -3r + -1r = 0 Combine like terms: 6 + 7 = 13 13 + 8r + -3r + -1r = 0 Combine like terms: 8r + -3r = 5r 13 + 5r + -1r = 0 Combine like terms: 5r + -1r = 4r 13 + 4r = 0 Solving 13 + 4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4r = 0 + -13 4r = 0 + -13 Combine like terms: 0 + -13 = -13 4r = -13 Divide each side by '4'. r = -3.25 Simplifying r = -3.25
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