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Simplifying r + -1 = 5r + -7 Reorder the terms: -1 + r = 5r + -7 Reorder the terms: -1 + r = -7 + 5r Solving -1 + r = -7 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -1 + r + -5r = -7 + 5r + -5r Combine like terms: r + -5r = -4r -1 + -4r = -7 + 5r + -5r Combine like terms: 5r + -5r = 0 -1 + -4r = -7 + 0 -1 + -4r = -7 Add '1' to each side of the equation. -1 + 1 + -4r = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -4r = -7 + 1 -4r = -7 + 1 Combine like terms: -7 + 1 = -6 -4r = -6 Divide each side by '-4'. r = 1.5 Simplifying r = 1.5
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