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Simplifying 5r + -2 = -1(r + -3) + 3r Reorder the terms: -2 + 5r = -1(r + -3) + 3r Reorder the terms: -2 + 5r = -1(-3 + r) + 3r -2 + 5r = (-3 * -1 + r * -1) + 3r -2 + 5r = (3 + -1r) + 3r Combine like terms: -1r + 3r = 2r -2 + 5r = 3 + 2r Solving -2 + 5r = 3 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -2 + 5r + -2r = 3 + 2r + -2r Combine like terms: 5r + -2r = 3r -2 + 3r = 3 + 2r + -2r Combine like terms: 2r + -2r = 0 -2 + 3r = 3 + 0 -2 + 3r = 3 Add '2' to each side of the equation. -2 + 2 + 3r = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 3r = 3 + 2 3r = 3 + 2 Combine like terms: 3 + 2 = 5 3r = 5 Divide each side by '3'. r = 1.666666667 Simplifying r = 1.666666667
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