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Simplifying 7 + 4r + -8 + -1r = r + 3r Reorder the terms: 7 + -8 + 4r + -1r = r + 3r Combine like terms: 7 + -8 = -1 -1 + 4r + -1r = r + 3r Combine like terms: 4r + -1r = 3r -1 + 3r = r + 3r Combine like terms: r + 3r = 4r -1 + 3r = 4r Solving -1 + 3r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -1 + 3r + -4r = 4r + -4r Combine like terms: 3r + -4r = -1r -1 + -1r = 4r + -4r Combine like terms: 4r + -4r = 0 -1 + -1r = 0 Add '1' to each side of the equation. -1 + 1 + -1r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1r = 0 + 1 -1r = 0 + 1 Combine like terms: 0 + 1 = 1 -1r = 1 Divide each side by '-1'. r = -1 Simplifying r = -1
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