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Simplifying 6(r + 2) + -4 = -10 + 3r Reorder the terms: 6(2 + r) + -4 = -10 + 3r (2 * 6 + r * 6) + -4 = -10 + 3r (12 + 6r) + -4 = -10 + 3r Reorder the terms: 12 + -4 + 6r = -10 + 3r Combine like terms: 12 + -4 = 8 8 + 6r = -10 + 3r Solving 8 + 6r = -10 + 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. 8 + 6r + -3r = -10 + 3r + -3r Combine like terms: 6r + -3r = 3r 8 + 3r = -10 + 3r + -3r Combine like terms: 3r + -3r = 0 8 + 3r = -10 + 0 8 + 3r = -10 Add '-8' to each side of the equation. 8 + -8 + 3r = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 3r = -10 + -8 3r = -10 + -8 Combine like terms: -10 + -8 = -18 3r = -18 Divide each side by '3'. r = -6 Simplifying r = -6
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