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Simplifying 3r + 4 = 9r + 7 Reorder the terms: 4 + 3r = 9r + 7 Reorder the terms: 4 + 3r = 7 + 9r Solving 4 + 3r = 7 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 4 + 3r + -9r = 7 + 9r + -9r Combine like terms: 3r + -9r = -6r 4 + -6r = 7 + 9r + -9r Combine like terms: 9r + -9r = 0 4 + -6r = 7 + 0 4 + -6r = 7 Add '-4' to each side of the equation. 4 + -4 + -6r = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -6r = 7 + -4 -6r = 7 + -4 Combine like terms: 7 + -4 = 3 -6r = 3 Divide each side by '-6'. r = -0.5 Simplifying r = -0.5
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