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Simplifying -38 + -3v = 7(v + 6) Reorder the terms: -38 + -3v = 7(6 + v) -38 + -3v = (6 * 7 + v * 7) -38 + -3v = (42 + 7v) Solving -38 + -3v = 42 + 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. -38 + -3v + -7v = 42 + 7v + -7v Combine like terms: -3v + -7v = -10v -38 + -10v = 42 + 7v + -7v Combine like terms: 7v + -7v = 0 -38 + -10v = 42 + 0 -38 + -10v = 42 Add '38' to each side of the equation. -38 + 38 + -10v = 42 + 38 Combine like terms: -38 + 38 = 0 0 + -10v = 42 + 38 -10v = 42 + 38 Combine like terms: 42 + 38 = 80 -10v = 80 Divide each side by '-10'. v = -8 Simplifying v = -8
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