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Simplifying 2 + 5r = -3 + -5(r + -3) Reorder the terms: 2 + 5r = -3 + -5(-3 + r) 2 + 5r = -3 + (-3 * -5 + r * -5) 2 + 5r = -3 + (15 + -5r) Combine like terms: -3 + 15 = 12 2 + 5r = 12 + -5r Solving 2 + 5r = 12 + -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. 2 + 5r + 5r = 12 + -5r + 5r Combine like terms: 5r + 5r = 10r 2 + 10r = 12 + -5r + 5r Combine like terms: -5r + 5r = 0 2 + 10r = 12 + 0 2 + 10r = 12 Add '-2' to each side of the equation. 2 + -2 + 10r = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 10r = 12 + -2 10r = 12 + -2 Combine like terms: 12 + -2 = 10 10r = 10 Divide each side by '10'. r = 1 Simplifying r = 1
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