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Simplifying 10(v + -4) = 11(v + -4) Reorder the terms: 10(-4 + v) = 11(v + -4) (-4 * 10 + v * 10) = 11(v + -4) (-40 + 10v) = 11(v + -4) Reorder the terms: -40 + 10v = 11(-4 + v) -40 + 10v = (-4 * 11 + v * 11) -40 + 10v = (-44 + 11v) Solving -40 + 10v = -44 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -40 + 10v + -11v = -44 + 11v + -11v Combine like terms: 10v + -11v = -1v -40 + -1v = -44 + 11v + -11v Combine like terms: 11v + -11v = 0 -40 + -1v = -44 + 0 -40 + -1v = -44 Add '40' to each side of the equation. -40 + 40 + -1v = -44 + 40 Combine like terms: -40 + 40 = 0 0 + -1v = -44 + 40 -1v = -44 + 40 Combine like terms: -44 + 40 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4
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