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Simplifying -4(1 + 4v) + 6(v + -4) = -78 (1 * -4 + 4v * -4) + 6(v + -4) = -78 (-4 + -16v) + 6(v + -4) = -78 Reorder the terms: -4 + -16v + 6(-4 + v) = -78 -4 + -16v + (-4 * 6 + v * 6) = -78 -4 + -16v + (-24 + 6v) = -78 Reorder the terms: -4 + -24 + -16v + 6v = -78 Combine like terms: -4 + -24 = -28 -28 + -16v + 6v = -78 Combine like terms: -16v + 6v = -10v -28 + -10v = -78 Solving -28 + -10v = -78 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -10v = -78 + 28 Combine like terms: -28 + 28 = 0 0 + -10v = -78 + 28 -10v = -78 + 28 Combine like terms: -78 + 28 = -50 -10v = -50 Divide each side by '-10'. v = 5 Simplifying v = 5
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