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Simplifying -4(v + 1) = 6v + -46 Reorder the terms: -4(1 + v) = 6v + -46 (1 * -4 + v * -4) = 6v + -46 (-4 + -4v) = 6v + -46 Reorder the terms: -4 + -4v = -46 + 6v Solving -4 + -4v = -46 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -4 + -4v + -6v = -46 + 6v + -6v Combine like terms: -4v + -6v = -10v -4 + -10v = -46 + 6v + -6v Combine like terms: 6v + -6v = 0 -4 + -10v = -46 + 0 -4 + -10v = -46 Add '4' to each side of the equation. -4 + 4 + -10v = -46 + 4 Combine like terms: -4 + 4 = 0 0 + -10v = -46 + 4 -10v = -46 + 4 Combine like terms: -46 + 4 = -42 -10v = -42 Divide each side by '-10'. v = 4.2 Simplifying v = 4.2
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