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Simplifying -10 = 6v + 7(v + 6) Reorder the terms: -10 = 6v + 7(6 + v) -10 = 6v + (6 * 7 + v * 7) -10 = 6v + (42 + 7v) Reorder the terms: -10 = 42 + 6v + 7v Combine like terms: 6v + 7v = 13v -10 = 42 + 13v Solving -10 = 42 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -10 + -13v = 42 + 13v + -13v Combine like terms: 13v + -13v = 0 -10 + -13v = 42 + 0 -10 + -13v = 42 Add '10' to each side of the equation. -10 + 10 + -13v = 42 + 10 Combine like terms: -10 + 10 = 0 0 + -13v = 42 + 10 -13v = 42 + 10 Combine like terms: 42 + 10 = 52 -13v = 52 Divide each side by '-13'. v = -4 Simplifying v = -4
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