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Simplifying -49 = 10r + 1 Reorder the terms: -49 = 1 + 10r Solving -49 = 1 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -49 + -10r = 1 + 10r + -10r Combine like terms: 10r + -10r = 0 -49 + -10r = 1 + 0 -49 + -10r = 1 Add '49' to each side of the equation. -49 + 49 + -10r = 1 + 49 Combine like terms: -49 + 49 = 0 0 + -10r = 1 + 49 -10r = 1 + 49 Combine like terms: 1 + 49 = 50 -10r = 50 Divide each side by '-10'. r = -5 Simplifying r = -5
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