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Simplifying -5 + 5r = 15r + 3 + 12 Reorder the terms: -5 + 5r = 3 + 12 + 15r Combine like terms: 3 + 12 = 15 -5 + 5r = 15 + 15r Solving -5 + 5r = 15 + 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. -5 + 5r + -15r = 15 + 15r + -15r Combine like terms: 5r + -15r = -10r -5 + -10r = 15 + 15r + -15r Combine like terms: 15r + -15r = 0 -5 + -10r = 15 + 0 -5 + -10r = 15 Add '5' to each side of the equation. -5 + 5 + -10r = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -10r = 15 + 5 -10r = 15 + 5 Combine like terms: 15 + 5 = 20 -10r = 20 Divide each side by '-10'. r = -2 Simplifying r = -2
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