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Simplifying 18.338 + -6.1r = 7.4(1.3r + 6.23) + -3.1r Reorder the terms: 18.338 + -6.1r = 7.4(6.23 + 1.3r) + -3.1r 18.338 + -6.1r = (6.23 * 7.4 + 1.3r * 7.4) + -3.1r 18.338 + -6.1r = (46.102 + 9.62r) + -3.1r Combine like terms: 9.62r + -3.1r = 6.52r 18.338 + -6.1r = 46.102 + 6.52r Solving 18.338 + -6.1r = 46.102 + 6.52r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6.52r' to each side of the equation. 18.338 + -6.1r + -6.52r = 46.102 + 6.52r + -6.52r Combine like terms: -6.1r + -6.52r = -12.62r 18.338 + -12.62r = 46.102 + 6.52r + -6.52r Combine like terms: 6.52r + -6.52r = 0.00 18.338 + -12.62r = 46.102 + 0.00 18.338 + -12.62r = 46.102 Add '-18.338' to each side of the equation. 18.338 + -18.338 + -12.62r = 46.102 + -18.338 Combine like terms: 18.338 + -18.338 = 0.000 0.000 + -12.62r = 46.102 + -18.338 -12.62r = 46.102 + -18.338 Combine like terms: 46.102 + -18.338 = 27.764 -12.62r = 27.764 Divide each side by '-12.62'. r = -2.2 Simplifying r = -2.2
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