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Simplifying 6(v + -9) + -4 = -5(-4v + 8) + -4v Reorder the terms: 6(-9 + v) + -4 = -5(-4v + 8) + -4v (-9 * 6 + v * 6) + -4 = -5(-4v + 8) + -4v (-54 + 6v) + -4 = -5(-4v + 8) + -4v Reorder the terms: -54 + -4 + 6v = -5(-4v + 8) + -4v Combine like terms: -54 + -4 = -58 -58 + 6v = -5(-4v + 8) + -4v Reorder the terms: -58 + 6v = -5(8 + -4v) + -4v -58 + 6v = (8 * -5 + -4v * -5) + -4v -58 + 6v = (-40 + 20v) + -4v Combine like terms: 20v + -4v = 16v -58 + 6v = -40 + 16v Solving -58 + 6v = -40 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -58 + 6v + -16v = -40 + 16v + -16v Combine like terms: 6v + -16v = -10v -58 + -10v = -40 + 16v + -16v Combine like terms: 16v + -16v = 0 -58 + -10v = -40 + 0 -58 + -10v = -40 Add '58' to each side of the equation. -58 + 58 + -10v = -40 + 58 Combine like terms: -58 + 58 = 0 0 + -10v = -40 + 58 -10v = -40 + 58 Combine like terms: -40 + 58 = 18 -10v = 18 Divide each side by '-10'. v = -1.8 Simplifying v = -1.8
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