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Simplifying 7v + 8 = 4(5v + -3) + -6 Reorder the terms: 8 + 7v = 4(5v + -3) + -6 Reorder the terms: 8 + 7v = 4(-3 + 5v) + -6 8 + 7v = (-3 * 4 + 5v * 4) + -6 8 + 7v = (-12 + 20v) + -6 Reorder the terms: 8 + 7v = -12 + -6 + 20v Combine like terms: -12 + -6 = -18 8 + 7v = -18 + 20v Solving 8 + 7v = -18 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. 8 + 7v + -20v = -18 + 20v + -20v Combine like terms: 7v + -20v = -13v 8 + -13v = -18 + 20v + -20v Combine like terms: 20v + -20v = 0 8 + -13v = -18 + 0 8 + -13v = -18 Add '-8' to each side of the equation. 8 + -8 + -13v = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -13v = -18 + -8 -13v = -18 + -8 Combine like terms: -18 + -8 = -26 -13v = -26 Divide each side by '-13'. v = 2 Simplifying v = 2
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