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Simplifying 3r + 8 = 4r + -2 Reorder the terms: 8 + 3r = 4r + -2 Reorder the terms: 8 + 3r = -2 + 4r Solving 8 + 3r = -2 + 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. 8 + 3r + -4r = -2 + 4r + -4r Combine like terms: 3r + -4r = -1r 8 + -1r = -2 + 4r + -4r Combine like terms: 4r + -4r = 0 8 + -1r = -2 + 0 8 + -1r = -2 Add '-8' to each side of the equation. 8 + -8 + -1r = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = -2 + -8 -1r = -2 + -8 Combine like terms: -2 + -8 = -10 -1r = -10 Divide each side by '-1'. r = 10 Simplifying r = 10
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