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Simplifying 5[5 + -8v] + 12 = -54 [5 * 5 + -8v * 5] + 12 = -54 [25 + -40v] + 12 = -54 Reorder the terms: 25 + 12 + -40v = -54 Combine like terms: 25 + 12 = 37 37 + -40v = -54 Solving 37 + -40v = -54 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -40v = -54 + -37 Combine like terms: 37 + -37 = 0 0 + -40v = -54 + -37 -40v = -54 + -37 Combine like terms: -54 + -37 = -91 -40v = -91 Divide each side by '-40'. v = 2.275 Simplifying v = 2.275
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