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Simplifying 5(2r + -3) = r + -2 Reorder the terms: 5(-3 + 2r) = r + -2 (-3 * 5 + 2r * 5) = r + -2 (-15 + 10r) = r + -2 Reorder the terms: -15 + 10r = -2 + r Solving -15 + 10r = -2 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -15 + 10r + -1r = -2 + r + -1r Combine like terms: 10r + -1r = 9r -15 + 9r = -2 + r + -1r Combine like terms: r + -1r = 0 -15 + 9r = -2 + 0 -15 + 9r = -2 Add '15' to each side of the equation. -15 + 15 + 9r = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 9r = -2 + 15 9r = -2 + 15 Combine like terms: -2 + 15 = 13 9r = 13 Divide each side by '9'. r = 1.444444444 Simplifying r = 1.444444444
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