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Simplifying -3v + -45 = 7(v + 5) Reorder the terms: -45 + -3v = 7(v + 5) Reorder the terms: -45 + -3v = 7(5 + v) -45 + -3v = (5 * 7 + v * 7) -45 + -3v = (35 + 7v) Solving -45 + -3v = 35 + 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. -45 + -3v + -7v = 35 + 7v + -7v Combine like terms: -3v + -7v = -10v -45 + -10v = 35 + 7v + -7v Combine like terms: 7v + -7v = 0 -45 + -10v = 35 + 0 -45 + -10v = 35 Add '45' to each side of the equation. -45 + 45 + -10v = 35 + 45 Combine like terms: -45 + 45 = 0 0 + -10v = 35 + 45 -10v = 35 + 45 Combine like terms: 35 + 45 = 80 -10v = 80 Divide each side by '-10'. v = -8 Simplifying v = -8
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