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Simplifying 3r + -7 = 2(4 + -3r) Reorder the terms: -7 + 3r = 2(4 + -3r) -7 + 3r = (4 * 2 + -3r * 2) -7 + 3r = (8 + -6r) Solving -7 + 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. -7 + 3r + 6r = 8 + -6r + 6r Combine like terms: 3r + 6r = 9r -7 + 9r = 8 + -6r + 6r Combine like terms: -6r + 6r = 0 -7 + 9r = 8 + 0 -7 + 9r = 8 Add '7' to each side of the equation. -7 + 7 + 9r = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 9r = 8 + 7 9r = 8 + 7 Combine like terms: 8 + 7 = 15 9r = 15 Divide each side by '9'. r = 1.666666667 Simplifying r = 1.666666667
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