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Simplifying 2(2r + -3r) = 5(r + -3) Combine like terms: 2r + -3r = -1r 2(-1r) = 5(r + -3) Remove parenthesis around (-1r) 2 * -1r = 5(r + -3) Multiply 2 * -1 -2r = 5(r + -3) Reorder the terms: -2r = 5(-3 + r) -2r = (-3 * 5 + r * 5) -2r = (-15 + 5r) Solving -2r = -15 + 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. -2r + -5r = -15 + 5r + -5r Combine like terms: -2r + -5r = -7r -7r = -15 + 5r + -5r Combine like terms: 5r + -5r = 0 -7r = -15 + 0 -7r = -15 Divide each side by '-7'. r = 2.142857143 Simplifying r = 2.142857143
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