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Simplifying 28 + -7v = 5(-6v + 1) Reorder the terms: 28 + -7v = 5(1 + -6v) 28 + -7v = (1 * 5 + -6v * 5) 28 + -7v = (5 + -30v) Solving 28 + -7v = 5 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. 28 + -7v + 30v = 5 + -30v + 30v Combine like terms: -7v + 30v = 23v 28 + 23v = 5 + -30v + 30v Combine like terms: -30v + 30v = 0 28 + 23v = 5 + 0 28 + 23v = 5 Add '-28' to each side of the equation. 28 + -28 + 23v = 5 + -28 Combine like terms: 28 + -28 = 0 0 + 23v = 5 + -28 23v = 5 + -28 Combine like terms: 5 + -28 = -23 23v = -23 Divide each side by '23'. v = -1 Simplifying v = -1
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