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Simplifying 98 = 5(-4 + -5v) + -7 98 = (-4 * 5 + -5v * 5) + -7 98 = (-20 + -25v) + -7 Reorder the terms: 98 = -20 + -7 + -25v Combine like terms: -20 + -7 = -27 98 = -27 + -25v Solving 98 = -27 + -25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25v' to each side of the equation. 98 + 25v = -27 + -25v + 25v Combine like terms: -25v + 25v = 0 98 + 25v = -27 + 0 98 + 25v = -27 Add '-98' to each side of the equation. 98 + -98 + 25v = -27 + -98 Combine like terms: 98 + -98 = 0 0 + 25v = -27 + -98 25v = -27 + -98 Combine like terms: -27 + -98 = -125 25v = -125 Divide each side by '25'. v = -5 Simplifying v = -5
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