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Simplifying -1r + -5 = 2r + -7 + -1r Reorder the terms: -5 + -1r = 2r + -7 + -1r Reorder the terms: -5 + -1r = -7 + 2r + -1r Combine like terms: 2r + -1r = 1r -5 + -1r = -7 + 1r Solving -5 + -1r = -7 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -5 + -1r + -1r = -7 + 1r + -1r Combine like terms: -1r + -1r = -2r -5 + -2r = -7 + 1r + -1r Combine like terms: 1r + -1r = 0 -5 + -2r = -7 + 0 -5 + -2r = -7 Add '5' to each side of the equation. -5 + 5 + -2r = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -2r = -7 + 5 -2r = -7 + 5 Combine like terms: -7 + 5 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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