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Simplifying 3r + -5 = 2(4 + -3r) Reorder the terms: -5 + 3r = 2(4 + -3r) -5 + 3r = (4 * 2 + -3r * 2) -5 + 3r = (8 + -6r) Solving -5 + 3r = 8 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -5 + 3r + 6r = 8 + -6r + 6r Combine like terms: 3r + 6r = 9r -5 + 9r = 8 + -6r + 6r Combine like terms: -6r + 6r = 0 -5 + 9r = 8 + 0 -5 + 9r = 8 Add '5' to each side of the equation. -5 + 5 + 9r = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 9r = 8 + 5 9r = 8 + 5 Combine like terms: 8 + 5 = 13 9r = 13 Divide each side by '9'. r = 1.444444444 Simplifying r = 1.444444444
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