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Simplifying 3r + 9 = 4r + -6 Reorder the terms: 9 + 3r = 4r + -6 Reorder the terms: 9 + 3r = -6 + 4r Solving 9 + 3r = -6 + 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. 9 + 3r + -4r = -6 + 4r + -4r Combine like terms: 3r + -4r = -1r 9 + -1r = -6 + 4r + -4r Combine like terms: 4r + -4r = 0 9 + -1r = -6 + 0 9 + -1r = -6 Add '-9' to each side of the equation. 9 + -9 + -1r = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = -6 + -9 -1r = -6 + -9 Combine like terms: -6 + -9 = -15 -1r = -15 Divide each side by '-1'. r = 15 Simplifying r = 15
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