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Simplifying 3v + 37 = -4(v + 3) Reorder the terms: 37 + 3v = -4(v + 3) Reorder the terms: 37 + 3v = -4(3 + v) 37 + 3v = (3 * -4 + v * -4) 37 + 3v = (-12 + -4v) Solving 37 + 3v = -12 + -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. 37 + 3v + 4v = -12 + -4v + 4v Combine like terms: 3v + 4v = 7v 37 + 7v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 37 + 7v = -12 + 0 37 + 7v = -12 Add '-37' to each side of the equation. 37 + -37 + 7v = -12 + -37 Combine like terms: 37 + -37 = 0 0 + 7v = -12 + -37 7v = -12 + -37 Combine like terms: -12 + -37 = -49 7v = -49 Divide each side by '7'. v = -7 Simplifying v = -7
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