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Simplifying 1.06(v + 3) + -4v = 4(3v + 4) + -19 Reorder the terms: 1.06(3 + v) + -4v = 4(3v + 4) + -19 (3 * 1.06 + v * 1.06) + -4v = 4(3v + 4) + -19 (3.18 + 1.06v) + -4v = 4(3v + 4) + -19 Combine like terms: 1.06v + -4v = -2.94v 3.18 + -2.94v = 4(3v + 4) + -19 Reorder the terms: 3.18 + -2.94v = 4(4 + 3v) + -19 3.18 + -2.94v = (4 * 4 + 3v * 4) + -19 3.18 + -2.94v = (16 + 12v) + -19 Reorder the terms: 3.18 + -2.94v = 16 + -19 + 12v Combine like terms: 16 + -19 = -3 3.18 + -2.94v = -3 + 12v Solving 3.18 + -2.94v = -3 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 3.18 + -2.94v + -12v = -3 + 12v + -12v Combine like terms: -2.94v + -12v = -14.94v 3.18 + -14.94v = -3 + 12v + -12v Combine like terms: 12v + -12v = 0 3.18 + -14.94v = -3 + 0 3.18 + -14.94v = -3 Add '-3.18' to each side of the equation. 3.18 + -3.18 + -14.94v = -3 + -3.18 Combine like terms: 3.18 + -3.18 = 0.00 0.00 + -14.94v = -3 + -3.18 -14.94v = -3 + -3.18 Combine like terms: -3 + -3.18 = -6.18 -14.94v = -6.18 Divide each side by '-14.94'. v = 0.4136546185 Simplifying v = 0.4136546185
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