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Simplifying 10r + -12 = 15r + -2 Reorder the terms: -12 + 10r = 15r + -2 Reorder the terms: -12 + 10r = -2 + 15r Solving -12 + 10r = -2 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -12 + 10r + -15r = -2 + 15r + -15r Combine like terms: 10r + -15r = -5r -12 + -5r = -2 + 15r + -15r Combine like terms: 15r + -15r = 0 -12 + -5r = -2 + 0 -12 + -5r = -2 Add '12' to each side of the equation. -12 + 12 + -5r = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -5r = -2 + 12 -5r = -2 + 12 Combine like terms: -2 + 12 = 10 -5r = 10 Divide each side by '-5'. r = -2 Simplifying r = -2
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