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Simplifying 8(v + 9) + -19 = 23 Reorder the terms: 8(9 + v) + -19 = 23 (9 * 8 + v * 8) + -19 = 23 (72 + 8v) + -19 = 23 Reorder the terms: 72 + -19 + 8v = 23 Combine like terms: 72 + -19 = 53 53 + 8v = 23 Solving 53 + 8v = 23 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 8v = 23 + -53 Combine like terms: 53 + -53 = 0 0 + 8v = 23 + -53 8v = 23 + -53 Combine like terms: 23 + -53 = -30 8v = -30 Divide each side by '8'. v = -3.75 Simplifying v = -3.75
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