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Simplifying -23 = 3 + 2(r + 4) Reorder the terms: -23 = 3 + 2(4 + r) -23 = 3 + (4 * 2 + r * 2) -23 = 3 + (8 + 2r) Combine like terms: 3 + 8 = 11 -23 = 11 + 2r Solving -23 = 11 + 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. -23 + -2r = 11 + 2r + -2r Combine like terms: 2r + -2r = 0 -23 + -2r = 11 + 0 -23 + -2r = 11 Add '23' to each side of the equation. -23 + 23 + -2r = 11 + 23 Combine like terms: -23 + 23 = 0 0 + -2r = 11 + 23 -2r = 11 + 23 Combine like terms: 11 + 23 = 34 -2r = 34 Divide each side by '-2'. r = -17 Simplifying r = -17
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