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Simplifying 2r + -12 = 3r + -10 Reorder the terms: -12 + 2r = 3r + -10 Reorder the terms: -12 + 2r = -10 + 3r Solving -12 + 2r = -10 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -12 + 2r + -3r = -10 + 3r + -3r Combine like terms: 2r + -3r = -1r -12 + -1r = -10 + 3r + -3r Combine like terms: 3r + -3r = 0 -12 + -1r = -10 + 0 -12 + -1r = -10 Add '12' to each side of the equation. -12 + 12 + -1r = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -1r = -10 + 12 -1r = -10 + 12 Combine like terms: -10 + 12 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2
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