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Simplifying 2(2r + -7) = r + 13 Reorder the terms: 2(-7 + 2r) = r + 13 (-7 * 2 + 2r * 2) = r + 13 (-14 + 4r) = r + 13 Reorder the terms: -14 + 4r = 13 + r Solving -14 + 4r = 13 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -14 + 4r + -1r = 13 + r + -1r Combine like terms: 4r + -1r = 3r -14 + 3r = 13 + r + -1r Combine like terms: r + -1r = 0 -14 + 3r = 13 + 0 -14 + 3r = 13 Add '14' to each side of the equation. -14 + 14 + 3r = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 3r = 13 + 14 3r = 13 + 14 Combine like terms: 13 + 14 = 27 3r = 27 Divide each side by '3'. r = 9 Simplifying r = 9
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