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Simplifying 2(r + 4) + -3 = -7 Reorder the terms: 2(4 + r) + -3 = -7 (4 * 2 + r * 2) + -3 = -7 (8 + 2r) + -3 = -7 Reorder the terms: 8 + -3 + 2r = -7 Combine like terms: 8 + -3 = 5 5 + 2r = -7 Solving 5 + 2r = -7 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2r = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 2r = -7 + -5 2r = -7 + -5 Combine like terms: -7 + -5 = -12 2r = -12 Divide each side by '2'. r = -6 Simplifying r = -6
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