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Simplifying 6(r + 4) + -3(r + -2) = 12 Reorder the terms: 6(4 + r) + -3(r + -2) = 12 (4 * 6 + r * 6) + -3(r + -2) = 12 (24 + 6r) + -3(r + -2) = 12 Reorder the terms: 24 + 6r + -3(-2 + r) = 12 24 + 6r + (-2 * -3 + r * -3) = 12 24 + 6r + (6 + -3r) = 12 Reorder the terms: 24 + 6 + 6r + -3r = 12 Combine like terms: 24 + 6 = 30 30 + 6r + -3r = 12 Combine like terms: 6r + -3r = 3r 30 + 3r = 12 Solving 30 + 3r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 3r = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 3r = 12 + -30 3r = 12 + -30 Combine like terms: 12 + -30 = -18 3r = -18 Divide each side by '3'. r = -6 Simplifying r = -6
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