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Simplifying -6v + -33 = 7(v + -1) Reorder the terms: -33 + -6v = 7(v + -1) Reorder the terms: -33 + -6v = 7(-1 + v) -33 + -6v = (-1 * 7 + v * 7) -33 + -6v = (-7 + 7v) Solving -33 + -6v = -7 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -33 + -6v + -7v = -7 + 7v + -7v Combine like terms: -6v + -7v = -13v -33 + -13v = -7 + 7v + -7v Combine like terms: 7v + -7v = 0 -33 + -13v = -7 + 0 -33 + -13v = -7 Add '33' to each side of the equation. -33 + 33 + -13v = -7 + 33 Combine like terms: -33 + 33 = 0 0 + -13v = -7 + 33 -13v = -7 + 33 Combine like terms: -7 + 33 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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