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Simplifying -10(v + 3) = 3(v + 3) Reorder the terms: -10(3 + v) = 3(v + 3) (3 * -10 + v * -10) = 3(v + 3) (-30 + -10v) = 3(v + 3) Reorder the terms: -30 + -10v = 3(3 + v) -30 + -10v = (3 * 3 + v * 3) -30 + -10v = (9 + 3v) Solving -30 + -10v = 9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -30 + -10v + -3v = 9 + 3v + -3v Combine like terms: -10v + -3v = -13v -30 + -13v = 9 + 3v + -3v Combine like terms: 3v + -3v = 0 -30 + -13v = 9 + 0 -30 + -13v = 9 Add '30' to each side of the equation. -30 + 30 + -13v = 9 + 30 Combine like terms: -30 + 30 = 0 0 + -13v = 9 + 30 -13v = 9 + 30 Combine like terms: 9 + 30 = 39 -13v = 39 Divide each side by '-13'. v = -3 Simplifying v = -3
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