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Simplifying 3r + -2 = -10 + 7r + -3r Reorder the terms: -2 + 3r = -10 + 7r + -3r Combine like terms: 7r + -3r = 4r -2 + 3r = -10 + 4r Solving -2 + 3r = -10 + 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. -2 + 3r + -4r = -10 + 4r + -4r Combine like terms: 3r + -4r = -1r -2 + -1r = -10 + 4r + -4r Combine like terms: 4r + -4r = 0 -2 + -1r = -10 + 0 -2 + -1r = -10 Add '2' to each side of the equation. -2 + 2 + -1r = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = -10 + 2 -1r = -10 + 2 Combine like terms: -10 + 2 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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