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Simplifying 7(v + -3) + -1 = -4(-6v + 4) + -5v Reorder the terms: 7(-3 + v) + -1 = -4(-6v + 4) + -5v (-3 * 7 + v * 7) + -1 = -4(-6v + 4) + -5v (-21 + 7v) + -1 = -4(-6v + 4) + -5v Reorder the terms: -21 + -1 + 7v = -4(-6v + 4) + -5v Combine like terms: -21 + -1 = -22 -22 + 7v = -4(-6v + 4) + -5v Reorder the terms: -22 + 7v = -4(4 + -6v) + -5v -22 + 7v = (4 * -4 + -6v * -4) + -5v -22 + 7v = (-16 + 24v) + -5v Combine like terms: 24v + -5v = 19v -22 + 7v = -16 + 19v Solving -22 + 7v = -16 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -22 + 7v + -19v = -16 + 19v + -19v Combine like terms: 7v + -19v = -12v -22 + -12v = -16 + 19v + -19v Combine like terms: 19v + -19v = 0 -22 + -12v = -16 + 0 -22 + -12v = -16 Add '22' to each side of the equation. -22 + 22 + -12v = -16 + 22 Combine like terms: -22 + 22 = 0 0 + -12v = -16 + 22 -12v = -16 + 22 Combine like terms: -16 + 22 = 6 -12v = 6 Divide each side by '-12'. v = -0.5 Simplifying v = -0.5
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