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Simplifying 7(r + 6) = -3r + -38 Reorder the terms: 7(6 + r) = -3r + -38 (6 * 7 + r * 7) = -3r + -38 (42 + 7r) = -3r + -38 Reorder the terms: 42 + 7r = -38 + -3r Solving 42 + 7r = -38 + -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. 42 + 7r + 3r = -38 + -3r + 3r Combine like terms: 7r + 3r = 10r 42 + 10r = -38 + -3r + 3r Combine like terms: -3r + 3r = 0 42 + 10r = -38 + 0 42 + 10r = -38 Add '-42' to each side of the equation. 42 + -42 + 10r = -38 + -42 Combine like terms: 42 + -42 = 0 0 + 10r = -38 + -42 10r = -38 + -42 Combine like terms: -38 + -42 = -80 10r = -80 Divide each side by '10'. r = -8 Simplifying r = -8
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