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Simplifying 1 + 3r = -6 + -4r Solving 1 + 3r = -6 + -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 = -6 + -4r + 4r Combine like terms: 3r + 4r = 7r 1 + 7r = -6 + -4r + 4r Combine like terms: -4r + 4r = 0 1 + 7r = -6 + 0 1 + 7r = -6 Add '-1' to each side of the equation. 1 + -1 + 7r = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 7r = -6 + -1 7r = -6 + -1 Combine like terms: -6 + -1 = -7 7r = -7 Divide each side by '7'. r = -1 Simplifying r = -1
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