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Simplifying -4(v + 3) = 3v + -19 Reorder the terms: -4(3 + v) = 3v + -19 (3 * -4 + v * -4) = 3v + -19 (-12 + -4v) = 3v + -19 Reorder the terms: -12 + -4v = -19 + 3v Solving -12 + -4v = -19 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -12 + -4v + -3v = -19 + 3v + -3v Combine like terms: -4v + -3v = -7v -12 + -7v = -19 + 3v + -3v Combine like terms: 3v + -3v = 0 -12 + -7v = -19 + 0 -12 + -7v = -19 Add '12' to each side of the equation. -12 + 12 + -7v = -19 + 12 Combine like terms: -12 + 12 = 0 0 + -7v = -19 + 12 -7v = -19 + 12 Combine like terms: -19 + 12 = -7 -7v = -7 Divide each side by '-7'. v = 1 Simplifying v = 1
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