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Simplifying 1 + -5r = -1 + 4r + -7r Combine like terms: 4r + -7r = -3r 1 + -5r = -1 + -3r Solving 1 + -5r = -1 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 1 + -5r + 3r = -1 + -3r + 3r Combine like terms: -5r + 3r = -2r 1 + -2r = -1 + -3r + 3r Combine like terms: -3r + 3r = 0 1 + -2r = -1 + 0 1 + -2r = -1 Add '-1' to each side of the equation. 1 + -1 + -2r = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -2r = -1 + -1 -2r = -1 + -1 Combine like terms: -1 + -1 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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