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Simplifying -7(-2 + 3v) + -3(8v + -8) = 38 (-2 * -7 + 3v * -7) + -3(8v + -8) = 38 (14 + -21v) + -3(8v + -8) = 38 Reorder the terms: 14 + -21v + -3(-8 + 8v) = 38 14 + -21v + (-8 * -3 + 8v * -3) = 38 14 + -21v + (24 + -24v) = 38 Reorder the terms: 14 + 24 + -21v + -24v = 38 Combine like terms: 14 + 24 = 38 38 + -21v + -24v = 38 Combine like terms: -21v + -24v = -45v 38 + -45v = 38 Add '-38' to each side of the equation. 38 + -38 + -45v = 38 + -38 Combine like terms: 38 + -38 = 0 0 + -45v = 38 + -38 -45v = 38 + -38 Combine like terms: 38 + -38 = 0 -45v = 0 Solving -45v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '-45'. v = 0 Simplifying v = 0
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