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Simplifying 2r + -6 + 5r = 3 + -5(r + -2) Reorder the terms: -6 + 2r + 5r = 3 + -5(r + -2) Combine like terms: 2r + 5r = 7r -6 + 7r = 3 + -5(r + -2) Reorder the terms: -6 + 7r = 3 + -5(-2 + r) -6 + 7r = 3 + (-2 * -5 + r * -5) -6 + 7r = 3 + (10 + -5r) Combine like terms: 3 + 10 = 13 -6 + 7r = 13 + -5r Solving -6 + 7r = 13 + -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. -6 + 7r + 5r = 13 + -5r + 5r Combine like terms: 7r + 5r = 12r -6 + 12r = 13 + -5r + 5r Combine like terms: -5r + 5r = 0 -6 + 12r = 13 + 0 -6 + 12r = 13 Add '6' to each side of the equation. -6 + 6 + 12r = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 12r = 13 + 6 12r = 13 + 6 Combine like terms: 13 + 6 = 19 12r = 19 Divide each side by '12'. r = 1.583333333 Simplifying r = 1.583333333
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