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Simplifying 155 = 5v + 7(1 + -6v) 155 = 5v + (1 * 7 + -6v * 7) 155 = 5v + (7 + -42v) Reorder the terms: 155 = 7 + 5v + -42v Combine like terms: 5v + -42v = -37v 155 = 7 + -37v Solving 155 = 7 + -37v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '37v' to each side of the equation. 155 + 37v = 7 + -37v + 37v Combine like terms: -37v + 37v = 0 155 + 37v = 7 + 0 155 + 37v = 7 Add '-155' to each side of the equation. 155 + -155 + 37v = 7 + -155 Combine like terms: 155 + -155 = 0 0 + 37v = 7 + -155 37v = 7 + -155 Combine like terms: 7 + -155 = -148 37v = -148 Divide each side by '37'. v = -4 Simplifying v = -4
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