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Simplifying -7v + -7(10v + 6) = -5(8v + 1) Reorder the terms: -7v + -7(6 + 10v) = -5(8v + 1) -7v + (6 * -7 + 10v * -7) = -5(8v + 1) -7v + (-42 + -70v) = -5(8v + 1) Reorder the terms: -42 + -7v + -70v = -5(8v + 1) Combine like terms: -7v + -70v = -77v -42 + -77v = -5(8v + 1) Reorder the terms: -42 + -77v = -5(1 + 8v) -42 + -77v = (1 * -5 + 8v * -5) -42 + -77v = (-5 + -40v) Solving -42 + -77v = -5 + -40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40v' to each side of the equation. -42 + -77v + 40v = -5 + -40v + 40v Combine like terms: -77v + 40v = -37v -42 + -37v = -5 + -40v + 40v Combine like terms: -40v + 40v = 0 -42 + -37v = -5 + 0 -42 + -37v = -5 Add '42' to each side of the equation. -42 + 42 + -37v = -5 + 42 Combine like terms: -42 + 42 = 0 0 + -37v = -5 + 42 -37v = -5 + 42 Combine like terms: -5 + 42 = 37 -37v = 37 Divide each side by '-37'. v = -1 Simplifying v = -1
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