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Simplifying -10 + 3v = -7(-5v + 6) Reorder the terms: -10 + 3v = -7(6 + -5v) -10 + 3v = (6 * -7 + -5v * -7) -10 + 3v = (-42 + 35v) Solving -10 + 3v = -42 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. -10 + 3v + -35v = -42 + 35v + -35v Combine like terms: 3v + -35v = -32v -10 + -32v = -42 + 35v + -35v Combine like terms: 35v + -35v = 0 -10 + -32v = -42 + 0 -10 + -32v = -42 Add '10' to each side of the equation. -10 + 10 + -32v = -42 + 10 Combine like terms: -10 + 10 = 0 0 + -32v = -42 + 10 -32v = -42 + 10 Combine like terms: -42 + 10 = -32 -32v = -32 Divide each side by '-32'. v = 1 Simplifying v = 1
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