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Simplifying 2(r + -5) = 5[r + (-7)] Reorder the terms: 2(-5 + r) = 5[r + (-7)] (-5 * 2 + r * 2) = 5[r + (-7)] (-10 + 2r) = 5[r + (-7)] -10 + 2r = 5[r + -7] Reorder the terms: -10 + 2r = 5[-7 + r] -10 + 2r = [-7 * 5 + r * 5] -10 + 2r = [-35 + 5r] Solving -10 + 2r = -35 + 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. -10 + 2r + -5r = -35 + 5r + -5r Combine like terms: 2r + -5r = -3r -10 + -3r = -35 + 5r + -5r Combine like terms: 5r + -5r = 0 -10 + -3r = -35 + 0 -10 + -3r = -35 Add '10' to each side of the equation. -10 + 10 + -3r = -35 + 10 Combine like terms: -10 + 10 = 0 0 + -3r = -35 + 10 -3r = -35 + 10 Combine like terms: -35 + 10 = -25 -3r = -25 Divide each side by '-3'. r = 8.333333333 Simplifying r = 8.333333333
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