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Simplifying 8 + -3(1 + 7v) = 152 8 + (1 * -3 + 7v * -3) = 152 8 + (-3 + -21v) = 152 Combine like terms: 8 + -3 = 5 5 + -21v = 152 Solving 5 + -21v = 152 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -21v = 152 + -5 Combine like terms: 5 + -5 = 0 0 + -21v = 152 + -5 -21v = 152 + -5 Combine like terms: 152 + -5 = 147 -21v = 147 Divide each side by '-21'. v = -7 Simplifying v = -7
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