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Simplifying 19 = -3 + 4(v + -6) Reorder the terms: 19 = -3 + 4(-6 + v) 19 = -3 + (-6 * 4 + v * 4) 19 = -3 + (-24 + 4v) Combine like terms: -3 + -24 = -27 19 = -27 + 4v Solving 19 = -27 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 19 + -4v = -27 + 4v + -4v Combine like terms: 4v + -4v = 0 19 + -4v = -27 + 0 19 + -4v = -27 Add '-19' to each side of the equation. 19 + -19 + -4v = -27 + -19 Combine like terms: 19 + -19 = 0 0 + -4v = -27 + -19 -4v = -27 + -19 Combine like terms: -27 + -19 = -46 -4v = -46 Divide each side by '-4'. v = 11.5 Simplifying v = 11.5
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