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Simplifying 2r + 3(5r + -6) = r Reorder the terms: 2r + 3(-6 + 5r) = r 2r + (-6 * 3 + 5r * 3) = r 2r + (-18 + 15r) = r Reorder the terms: -18 + 2r + 15r = r Combine like terms: 2r + 15r = 17r -18 + 17r = r Solving -18 + 17r = 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. -18 + 17r + -1r = r + -1r Combine like terms: 17r + -1r = 16r -18 + 16r = r + -1r Combine like terms: r + -1r = 0 -18 + 16r = 0 Add '18' to each side of the equation. -18 + 18 + 16r = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 16r = 0 + 18 16r = 0 + 18 Combine like terms: 0 + 18 = 18 16r = 18 Divide each side by '16'. r = 1.125 Simplifying r = 1.125
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