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Simplifying 4(3r + 2) + -3r = -10 Reorder the terms: 4(2 + 3r) + -3r = -10 (2 * 4 + 3r * 4) + -3r = -10 (8 + 12r) + -3r = -10 Combine like terms: 12r + -3r = 9r 8 + 9r = -10 Solving 8 + 9r = -10 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9r = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 9r = -10 + -8 9r = -10 + -8 Combine like terms: -10 + -8 = -18 9r = -18 Divide each side by '9'. r = -2 Simplifying r = -2
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