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Simplifying 3v + -45 = 6(v + -7) Reorder the terms: -45 + 3v = 6(v + -7) Reorder the terms: -45 + 3v = 6(-7 + v) -45 + 3v = (-7 * 6 + v * 6) -45 + 3v = (-42 + 6v) Solving -45 + 3v = -42 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -45 + 3v + -6v = -42 + 6v + -6v Combine like terms: 3v + -6v = -3v -45 + -3v = -42 + 6v + -6v Combine like terms: 6v + -6v = 0 -45 + -3v = -42 + 0 -45 + -3v = -42 Add '45' to each side of the equation. -45 + 45 + -3v = -42 + 45 Combine like terms: -45 + 45 = 0 0 + -3v = -42 + 45 -3v = -42 + 45 Combine like terms: -42 + 45 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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