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Simplifying 8 + 3r + -4 = 9r + 40 + -2r Reorder the terms: 8 + -4 + 3r = 9r + 40 + -2r Combine like terms: 8 + -4 = 4 4 + 3r = 9r + 40 + -2r Reorder the terms: 4 + 3r = 40 + 9r + -2r Combine like terms: 9r + -2r = 7r 4 + 3r = 40 + 7r Solving 4 + 3r = 40 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 4 + 3r + -7r = 40 + 7r + -7r Combine like terms: 3r + -7r = -4r 4 + -4r = 40 + 7r + -7r Combine like terms: 7r + -7r = 0 4 + -4r = 40 + 0 4 + -4r = 40 Add '-4' to each side of the equation. 4 + -4 + -4r = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -4r = 40 + -4 -4r = 40 + -4 Combine like terms: 40 + -4 = 36 -4r = 36 Divide each side by '-4'. r = -9 Simplifying r = -9
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