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Simplifying -7(v + 2) + 4v + 5 = 7v + 10 Reorder the terms: -7(2 + v) + 4v + 5 = 7v + 10 (2 * -7 + v * -7) + 4v + 5 = 7v + 10 (-14 + -7v) + 4v + 5 = 7v + 10 Reorder the terms: -14 + 5 + -7v + 4v = 7v + 10 Combine like terms: -14 + 5 = -9 -9 + -7v + 4v = 7v + 10 Combine like terms: -7v + 4v = -3v -9 + -3v = 7v + 10 Reorder the terms: -9 + -3v = 10 + 7v Solving -9 + -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. -9 + -3v + -7v = 10 + 7v + -7v Combine like terms: -3v + -7v = -10v -9 + -10v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 -9 + -10v = 10 + 0 -9 + -10v = 10 Add '9' to each side of the equation. -9 + 9 + -10v = 10 + 9 Combine like terms: -9 + 9 = 0 0 + -10v = 10 + 9 -10v = 10 + 9 Combine like terms: 10 + 9 = 19 -10v = 19 Divide each side by '-10'. v = -1.9 Simplifying v = -1.9
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