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Simplifying 11(3v + -7) + -1(-5v + -4) + -16 = 48 Reorder the terms: 11(-7 + 3v) + -1(-5v + -4) + -16 = 48 (-7 * 11 + 3v * 11) + -1(-5v + -4) + -16 = 48 (-77 + 33v) + -1(-5v + -4) + -16 = 48 Reorder the terms: -77 + 33v + -1(-4 + -5v) + -16 = 48 -77 + 33v + (-4 * -1 + -5v * -1) + -16 = 48 -77 + 33v + (4 + 5v) + -16 = 48 Reorder the terms: -77 + 4 + -16 + 33v + 5v = 48 Combine like terms: -77 + 4 = -73 -73 + -16 + 33v + 5v = 48 Combine like terms: -73 + -16 = -89 -89 + 33v + 5v = 48 Combine like terms: 33v + 5v = 38v -89 + 38v = 48 Solving -89 + 38v = 48 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + 38v = 48 + 89 Combine like terms: -89 + 89 = 0 0 + 38v = 48 + 89 38v = 48 + 89 Combine like terms: 48 + 89 = 137 38v = 137 Divide each side by '38'. v = 3.605263158 Simplifying v = 3.605263158
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