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Simplifying -47 = 13v + -4(4z + 5) Reorder the terms: -47 = 13v + -4(5 + 4z) -47 = 13v + (5 * -4 + 4z * -4) -47 = 13v + (-20 + -16z) Reorder the terms: -47 = -20 + 13v + -16z Solving -47 = -20 + 13v + -16z Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -47 + -13v = -20 + 13v + -13v + -16z Combine like terms: 13v + -13v = 0 -47 + -13v = -20 + 0 + -16z -47 + -13v = -20 + -16z Add '47' to each side of the equation. -47 + 47 + -13v = -20 + 47 + -16z Combine like terms: -47 + 47 = 0 0 + -13v = -20 + 47 + -16z -13v = -20 + 47 + -16z Combine like terms: -20 + 47 = 27 -13v = 27 + -16z Divide each side by '-13'. v = -2.076923077 + 1.230769231z Simplifying v = -2.076923077 + 1.230769231z
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