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Simplifying r + 84 = -2r + -30 Reorder the terms: 84 + r = -2r + -30 Reorder the terms: 84 + r = -30 + -2r Solving 84 + r = -30 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 84 + r + 2r = -30 + -2r + 2r Combine like terms: r + 2r = 3r 84 + 3r = -30 + -2r + 2r Combine like terms: -2r + 2r = 0 84 + 3r = -30 + 0 84 + 3r = -30 Add '-84' to each side of the equation. 84 + -84 + 3r = -30 + -84 Combine like terms: 84 + -84 = 0 0 + 3r = -30 + -84 3r = -30 + -84 Combine like terms: -30 + -84 = -114 3r = -114 Divide each side by '3'. r = -38 Simplifying r = -38
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