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Simplifying -1r + 3r + -5 = r + -1 + -3 Reorder the terms: -5 + -1r + 3r = r + -1 + -3 Combine like terms: -1r + 3r = 2r -5 + 2r = r + -1 + -3 Reorder the terms: -5 + 2r = -1 + -3 + r Combine like terms: -1 + -3 = -4 -5 + 2r = -4 + r Solving -5 + 2r = -4 + r 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 + 2r + -1r = -4 + r + -1r Combine like terms: 2r + -1r = 1r -5 + 1r = -4 + r + -1r Combine like terms: r + -1r = 0 -5 + 1r = -4 + 0 -5 + 1r = -4 Add '5' to each side of the equation. -5 + 5 + 1r = -4 + 5 Combine like terms: -5 + 5 = 0 0 + 1r = -4 + 5 1r = -4 + 5 Combine like terms: -4 + 5 = 1 1r = 1 Divide each side by '1'. r = 1 Simplifying r = 1
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