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Simplifying -152 = 8(5v + 1) Reorder the terms: -152 = 8(1 + 5v) -152 = (1 * 8 + 5v * 8) -152 = (8 + 40v) Solving -152 = 8 + 40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40v' to each side of the equation. -152 + -40v = 8 + 40v + -40v Combine like terms: 40v + -40v = 0 -152 + -40v = 8 + 0 -152 + -40v = 8 Add '152' to each side of the equation. -152 + 152 + -40v = 8 + 152 Combine like terms: -152 + 152 = 0 0 + -40v = 8 + 152 -40v = 8 + 152 Combine like terms: 8 + 152 = 160 -40v = 160 Divide each side by '-40'. v = -4 Simplifying v = -4
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