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Simplifying 4 + -6 + -1r = 7r + -6r Combine like terms: 4 + -6 = -2 -2 + -1r = 7r + -6r Combine like terms: 7r + -6r = 1r -2 + -1r = 1r Solving -2 + -1r = 1r 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. -2 + -1r + -1r = 1r + -1r Combine like terms: -1r + -1r = -2r -2 + -2r = 1r + -1r Combine like terms: 1r + -1r = 0 -2 + -2r = 0 Add '2' to each side of the equation. -2 + 2 + -2r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2r = 0 + 2 -2r = 0 + 2 Combine like terms: 0 + 2 = 2 -2r = 2 Divide each side by '-2'. r = -1 Simplifying r = -1
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