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Simplifying 3r + 4 = 13r + 9 Reorder the terms: 4 + 3r = 13r + 9 Reorder the terms: 4 + 3r = 9 + 13r Solving 4 + 3r = 9 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. 4 + 3r + -13r = 9 + 13r + -13r Combine like terms: 3r + -13r = -10r 4 + -10r = 9 + 13r + -13r Combine like terms: 13r + -13r = 0 4 + -10r = 9 + 0 4 + -10r = 9 Add '-4' to each side of the equation. 4 + -4 + -10r = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -10r = 9 + -4 -10r = 9 + -4 Combine like terms: 9 + -4 = 5 -10r = 5 Divide each side by '-10'. r = -0.5 Simplifying r = -0.5
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