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