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Simplifying -6(v + 3) + 3v + 7 = 7v + 10 Reorder the terms: -6(3 + v) + 3v + 7 = 7v + 10 (3 * -6 + v * -6) + 3v + 7 = 7v + 10 (-18 + -6v) + 3v + 7 = 7v + 10 Reorder the terms: -18 + 7 + -6v + 3v = 7v + 10 Combine like terms: -18 + 7 = -11 -11 + -6v + 3v = 7v + 10 Combine like terms: -6v + 3v = -3v -11 + -3v = 7v + 10 Reorder the terms: -11 + -3v = 10 + 7v Solving -11 + -3v = 10 + 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. -11 + -3v + -7v = 10 + 7v + -7v Combine like terms: -3v + -7v = -10v -11 + -10v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 -11 + -10v = 10 + 0 -11 + -10v = 10 Add '11' to each side of the equation. -11 + 11 + -10v = 10 + 11 Combine like terms: -11 + 11 = 0 0 + -10v = 10 + 11 -10v = 10 + 11 Combine like terms: 10 + 11 = 21 -10v = 21 Divide each side by '-10'. v = -2.1 Simplifying v = -2.1
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