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Simplifying 7 + 3r = -1(3r + -2) Reorder the terms: 7 + 3r = -1(-2 + 3r) 7 + 3r = (-2 * -1 + 3r * -1) 7 + 3r = (2 + -3r) Solving 7 + 3r = 2 + -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. 7 + 3r + 3r = 2 + -3r + 3r Combine like terms: 3r + 3r = 6r 7 + 6r = 2 + -3r + 3r Combine like terms: -3r + 3r = 0 7 + 6r = 2 + 0 7 + 6r = 2 Add '-7' to each side of the equation. 7 + -7 + 6r = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 6r = 2 + -7 6r = 2 + -7 Combine like terms: 2 + -7 = -5 6r = -5 Divide each side by '6'. r = -0.8333333333 Simplifying r = -0.8333333333
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