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Simplifying 3r + -8 = 7r + 10 Reorder the terms: -8 + 3r = 7r + 10 Reorder the terms: -8 + 3r = 10 + 7r Solving -8 + 3r = 10 + 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. -8 + 3r + -7r = 10 + 7r + -7r Combine like terms: 3r + -7r = -4r -8 + -4r = 10 + 7r + -7r Combine like terms: 7r + -7r = 0 -8 + -4r = 10 + 0 -8 + -4r = 10 Add '8' to each side of the equation. -8 + 8 + -4r = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -4r = 10 + 8 -4r = 10 + 8 Combine like terms: 10 + 8 = 18 -4r = 18 Divide each side by '-4'. r = -4.5 Simplifying r = -4.5
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