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Simplifying -94 = 8(v + -5) + 2 Reorder the terms: -94 = 8(-5 + v) + 2 -94 = (-5 * 8 + v * 8) + 2 -94 = (-40 + 8v) + 2 Reorder the terms: -94 = -40 + 2 + 8v Combine like terms: -40 + 2 = -38 -94 = -38 + 8v Solving -94 = -38 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -94 + -8v = -38 + 8v + -8v Combine like terms: 8v + -8v = 0 -94 + -8v = -38 + 0 -94 + -8v = -38 Add '94' to each side of the equation. -94 + 94 + -8v = -38 + 94 Combine like terms: -94 + 94 = 0 0 + -8v = -38 + 94 -8v = -38 + 94 Combine like terms: -38 + 94 = 56 -8v = 56 Divide each side by '-8'. v = -7 Simplifying v = -7
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