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Simplifying -7(v + 3) + 2v + 5 = 5v + 8 Reorder the terms: -7(3 + v) + 2v + 5 = 5v + 8 (3 * -7 + v * -7) + 2v + 5 = 5v + 8 (-21 + -7v) + 2v + 5 = 5v + 8 Reorder the terms: -21 + 5 + -7v + 2v = 5v + 8 Combine like terms: -21 + 5 = -16 -16 + -7v + 2v = 5v + 8 Combine like terms: -7v + 2v = -5v -16 + -5v = 5v + 8 Reorder the terms: -16 + -5v = 8 + 5v Solving -16 + -5v = 8 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -16 + -5v + -5v = 8 + 5v + -5v Combine like terms: -5v + -5v = -10v -16 + -10v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 -16 + -10v = 8 + 0 -16 + -10v = 8 Add '16' to each side of the equation. -16 + 16 + -10v = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -10v = 8 + 16 -10v = 8 + 16 Combine like terms: 8 + 16 = 24 -10v = 24 Divide each side by '-10'. v = -2.4 Simplifying v = -2.4
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