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Simplifying 29.8848 + -1.6v = 7.7(v + 4.2) Reorder the terms: 29.8848 + -1.6v = 7.7(4.2 + v) 29.8848 + -1.6v = (4.2 * 7.7 + v * 7.7) 29.8848 + -1.6v = (32.34 + 7.7v) Solving 29.8848 + -1.6v = 32.34 + 7.7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7.7v' to each side of the equation. 29.8848 + -1.6v + -7.7v = 32.34 + 7.7v + -7.7v Combine like terms: -1.6v + -7.7v = -9.3v 29.8848 + -9.3v = 32.34 + 7.7v + -7.7v Combine like terms: 7.7v + -7.7v = 0.0 29.8848 + -9.3v = 32.34 + 0.0 29.8848 + -9.3v = 32.34 Add '-29.8848' to each side of the equation. 29.8848 + -29.8848 + -9.3v = 32.34 + -29.8848 Combine like terms: 29.8848 + -29.8848 = 0.0000 0.0000 + -9.3v = 32.34 + -29.8848 -9.3v = 32.34 + -29.8848 Combine like terms: 32.34 + -29.8848 = 2.4552 -9.3v = 2.4552 Divide each side by '-9.3'. v = -0.264 Simplifying v = -0.264
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