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Simplifying 154 = -7v + 7(6 + -3v) 154 = -7v + (6 * 7 + -3v * 7) 154 = -7v + (42 + -21v) Reorder the terms: 154 = 42 + -7v + -21v Combine like terms: -7v + -21v = -28v 154 = 42 + -28v Solving 154 = 42 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. 154 + 28v = 42 + -28v + 28v Combine like terms: -28v + 28v = 0 154 + 28v = 42 + 0 154 + 28v = 42 Add '-154' to each side of the equation. 154 + -154 + 28v = 42 + -154 Combine like terms: 154 + -154 = 0 0 + 28v = 42 + -154 28v = 42 + -154 Combine like terms: 42 + -154 = -112 28v = -112 Divide each side by '28'. v = -4 Simplifying v = -4
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