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Simplifying -2(4v + -5) + 8(1 + -10v) = -70 Reorder the terms: -2(-5 + 4v) + 8(1 + -10v) = -70 (-5 * -2 + 4v * -2) + 8(1 + -10v) = -70 (10 + -8v) + 8(1 + -10v) = -70 10 + -8v + (1 * 8 + -10v * 8) = -70 10 + -8v + (8 + -80v) = -70 Reorder the terms: 10 + 8 + -8v + -80v = -70 Combine like terms: 10 + 8 = 18 18 + -8v + -80v = -70 Combine like terms: -8v + -80v = -88v 18 + -88v = -70 Solving 18 + -88v = -70 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -88v = -70 + -18 Combine like terms: 18 + -18 = 0 0 + -88v = -70 + -18 -88v = -70 + -18 Combine like terms: -70 + -18 = -88 -88v = -88 Divide each side by '-88'. v = 1 Simplifying v = 1
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