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Simplifying -7(4v + -7) + 5 = 114 Reorder the terms: -7(-7 + 4v) + 5 = 114 (-7 * -7 + 4v * -7) + 5 = 114 (49 + -28v) + 5 = 114 Reorder the terms: 49 + 5 + -28v = 114 Combine like terms: 49 + 5 = 54 54 + -28v = 114 Solving 54 + -28v = 114 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -28v = 114 + -54 Combine like terms: 54 + -54 = 0 0 + -28v = 114 + -54 -28v = 114 + -54 Combine like terms: 114 + -54 = 60 -28v = 60 Divide each side by '-28'. v = -2.142857143 Simplifying v = -2.142857143
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