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Simplifying 2(-5v + -5) = -5[4v + 3(-1v + -10)] Reorder the terms: 2(-5 + -5v) = -5[4v + 3(-1v + -10)] (-5 * 2 + -5v * 2) = -5[4v + 3(-1v + -10)] (-10 + -10v) = -5[4v + 3(-1v + -10)] Reorder the terms: -10 + -10v = -5[4v + 3(-10 + -1v)] -10 + -10v = -5[4v + (-10 * 3 + -1v * 3)] -10 + -10v = -5[4v + (-30 + -3v)] Reorder the terms: -10 + -10v = -5[-30 + 4v + -3v] Combine like terms: 4v + -3v = 1v -10 + -10v = -5[-30 + 1v] -10 + -10v = [-30 * -5 + 1v * -5] -10 + -10v = [150 + -5v] Solving -10 + -10v = 150 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -10 + -10v + 5v = 150 + -5v + 5v Combine like terms: -10v + 5v = -5v -10 + -5v = 150 + -5v + 5v Combine like terms: -5v + 5v = 0 -10 + -5v = 150 + 0 -10 + -5v = 150 Add '10' to each side of the equation. -10 + 10 + -5v = 150 + 10 Combine like terms: -10 + 10 = 0 0 + -5v = 150 + 10 -5v = 150 + 10 Combine like terms: 150 + 10 = 160 -5v = 160 Divide each side by '-5'. v = -32 Simplifying v = -32
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