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Simplifying 3r + -1(3r + -7) = -3r + -6 Reorder the terms: 3r + -1(-7 + 3r) = -3r + -6 3r + (-7 * -1 + 3r * -1) = -3r + -6 3r + (7 + -3r) = -3r + -6 Reorder the terms: 7 + 3r + -3r = -3r + -6 Combine like terms: 3r + -3r = 0 7 + 0 = -3r + -6 7 = -3r + -6 Reorder the terms: 7 = -6 + -3r Solving 7 = -6 + -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 = -6 + -3r + 3r Combine like terms: -3r + 3r = 0 7 + 3r = -6 + 0 7 + 3r = -6 Add '-7' to each side of the equation. 7 + -7 + 3r = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 3r = -6 + -7 3r = -6 + -7 Combine like terms: -6 + -7 = -13 3r = -13 Divide each side by '3'. r = -4.333333333 Simplifying r = -4.333333333
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