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Simplifying -5(1 + 2v) + 4(4 + v) = 53 (1 * -5 + 2v * -5) + 4(4 + v) = 53 (-5 + -10v) + 4(4 + v) = 53 -5 + -10v + (4 * 4 + v * 4) = 53 -5 + -10v + (16 + 4v) = 53 Reorder the terms: -5 + 16 + -10v + 4v = 53 Combine like terms: -5 + 16 = 11 11 + -10v + 4v = 53 Combine like terms: -10v + 4v = -6v 11 + -6v = 53 Solving 11 + -6v = 53 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6v = 53 + -11 Combine like terms: 11 + -11 = 0 0 + -6v = 53 + -11 -6v = 53 + -11 Combine like terms: 53 + -11 = 42 -6v = 42 Divide each side by '-6'. v = -7 Simplifying v = -7
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