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Simplifying -4(-7 + 7) + -6v = 4(v + -9) + -6 Combine like terms: -7 + 7 = 0 -4(0) + -6v = 4(v + -9) + -6 Multiply -4 * 0 0 + -6v = 4(v + -9) + -6 Anything times zero is zero. 0 + -6v = 4(v + -9) + -6 Remove the zero: -6v = 4(v + -9) + -6 Reorder the terms: -6v = 4(-9 + v) + -6 -6v = (-9 * 4 + v * 4) + -6 -6v = (-36 + 4v) + -6 Reorder the terms: -6v = -36 + -6 + 4v Combine like terms: -36 + -6 = -42 -6v = -42 + 4v Solving -6v = -42 + 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. -6v + -4v = -42 + 4v + -4v Combine like terms: -6v + -4v = -10v -10v = -42 + 4v + -4v Combine like terms: 4v + -4v = 0 -10v = -42 + 0 -10v = -42 Divide each side by '-10'. v = 4.2 Simplifying v = 4.2
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