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Simplifying 4(v + -1) + -1 = 2(2x + -3) Reorder the terms: 4(-1 + v) + -1 = 2(2x + -3) (-1 * 4 + v * 4) + -1 = 2(2x + -3) (-4 + 4v) + -1 = 2(2x + -3) Reorder the terms: -4 + -1 + 4v = 2(2x + -3) Combine like terms: -4 + -1 = -5 -5 + 4v = 2(2x + -3) Reorder the terms: -5 + 4v = 2(-3 + 2x) -5 + 4v = (-3 * 2 + 2x * 2) -5 + 4v = (-6 + 4x) Solving -5 + 4v = -6 + 4x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4v = -6 + 5 + 4x Combine like terms: -5 + 5 = 0 0 + 4v = -6 + 5 + 4x 4v = -6 + 5 + 4x Combine like terms: -6 + 5 = -1 4v = -1 + 4x Divide each side by '4'. v = -0.25 + x Simplifying v = -0.25 + x
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