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Simplifying 56v + -36v + 6(5 + -6v) = 10v + 36(23 + -27) + 18v 56v + -36v + (5 * 6 + -6v * 6) = 10v + 36(23 + -27) + 18v 56v + -36v + (30 + -36v) = 10v + 36(23 + -27) + 18v Reorder the terms: 30 + 56v + -36v + -36v = 10v + 36(23 + -27) + 18v Combine like terms: 56v + -36v = 20v 30 + 20v + -36v = 10v + 36(23 + -27) + 18v Combine like terms: 20v + -36v = -16v 30 + -16v = 10v + 36(23 + -27) + 18v Combine like terms: 23 + -27 = -4 30 + -16v = 10v + 36(-4) + 18v Multiply 36 * -4 30 + -16v = 10v + -144 + 18v Reorder the terms: 30 + -16v = -144 + 10v + 18v Combine like terms: 10v + 18v = 28v 30 + -16v = -144 + 28v Solving 30 + -16v = -144 + 28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28v' to each side of the equation. 30 + -16v + -28v = -144 + 28v + -28v Combine like terms: -16v + -28v = -44v 30 + -44v = -144 + 28v + -28v Combine like terms: 28v + -28v = 0 30 + -44v = -144 + 0 30 + -44v = -144 Add '-30' to each side of the equation. 30 + -30 + -44v = -144 + -30 Combine like terms: 30 + -30 = 0 0 + -44v = -144 + -30 -44v = -144 + -30 Combine like terms: -144 + -30 = -174 -44v = -174 Divide each side by '-44'. v = 3.954545455 Simplifying v = 3.954545455
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