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Simplifying -7(v + -4) = 3v + 36 Reorder the terms: -7(-4 + v) = 3v + 36 (-4 * -7 + v * -7) = 3v + 36 (28 + -7v) = 3v + 36 Reorder the terms: 28 + -7v = 36 + 3v Solving 28 + -7v = 36 + 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. 28 + -7v + -3v = 36 + 3v + -3v Combine like terms: -7v + -3v = -10v 28 + -10v = 36 + 3v + -3v Combine like terms: 3v + -3v = 0 28 + -10v = 36 + 0 28 + -10v = 36 Add '-28' to each side of the equation. 28 + -28 + -10v = 36 + -28 Combine like terms: 28 + -28 = 0 0 + -10v = 36 + -28 -10v = 36 + -28 Combine like terms: 36 + -28 = 8 -10v = 8 Divide each side by '-10'. v = -0.8 Simplifying v = -0.8
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