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Simplifying -5 + 4(1 + -7v) = 30 -5 + (1 * 4 + -7v * 4) = 30 -5 + (4 + -28v) = 30 Combine like terms: -5 + 4 = -1 -1 + -28v = 30 Solving -1 + -28v = 30 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -28v = 30 + 1 Combine like terms: -1 + 1 = 0 0 + -28v = 30 + 1 -28v = 30 + 1 Combine like terms: 30 + 1 = 31 -28v = 31 Divide each side by '-28'. v = -1.107142857 Simplifying v = -1.107142857
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