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Simplifying 4 + 3r + -1 = 9r + 3 + -5r Reorder the terms: 4 + -1 + 3r = 9r + 3 + -5r Combine like terms: 4 + -1 = 3 3 + 3r = 9r + 3 + -5r Reorder the terms: 3 + 3r = 3 + 9r + -5r Combine like terms: 9r + -5r = 4r 3 + 3r = 3 + 4r Add '-3' to each side of the equation. 3 + -3 + 3r = 3 + -3 + 4r Combine like terms: 3 + -3 = 0 0 + 3r = 3 + -3 + 4r 3r = 3 + -3 + 4r Combine like terms: 3 + -3 = 0 3r = 0 + 4r 3r = 4r Solving 3r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 3r + -4r = 4r + -4r Combine like terms: 3r + -4r = -1r -1r = 4r + -4r Combine like terms: 4r + -4r = 0 -1r = 0 Divide each side by '-1'. r = 0 Simplifying r = 0
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