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Simplifying -3r + 1 = -7 + r Reorder the terms: 1 + -3r = -7 + r Solving 1 + -3r = -7 + 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. 1 + -3r + -1r = -7 + r + -1r Combine like terms: -3r + -1r = -4r 1 + -4r = -7 + r + -1r Combine like terms: r + -1r = 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 = -8 -4r = -8 Divide each side by '-4'. r = 2 Simplifying r = 2
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