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Simplifying -16 + 5v = 6(7v + -9) Reorder the terms: -16 + 5v = 6(-9 + 7v) -16 + 5v = (-9 * 6 + 7v * 6) -16 + 5v = (-54 + 42v) Solving -16 + 5v = -54 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. -16 + 5v + -42v = -54 + 42v + -42v Combine like terms: 5v + -42v = -37v -16 + -37v = -54 + 42v + -42v Combine like terms: 42v + -42v = 0 -16 + -37v = -54 + 0 -16 + -37v = -54 Add '16' to each side of the equation. -16 + 16 + -37v = -54 + 16 Combine like terms: -16 + 16 = 0 0 + -37v = -54 + 16 -37v = -54 + 16 Combine like terms: -54 + 16 = -38 -37v = -38 Divide each side by '-37'. v = 1.027027027 Simplifying v = 1.027027027
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