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Simplifying 7 + -5r = 8 + 3r + -1 Reorder the terms: 7 + -5r = 8 + -1 + 3r Combine like terms: 8 + -1 = 7 7 + -5r = 7 + 3r Add '-7' to each side of the equation. 7 + -7 + -5r = 7 + -7 + 3r Combine like terms: 7 + -7 = 0 0 + -5r = 7 + -7 + 3r -5r = 7 + -7 + 3r Combine like terms: 7 + -7 = 0 -5r = 0 + 3r -5r = 3r Solving -5r = 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. -5r + -3r = 3r + -3r Combine like terms: -5r + -3r = -8r -8r = 3r + -3r Combine like terms: 3r + -3r = 0 -8r = 0 Divide each side by '-8'. r = 0 Simplifying r = 0
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