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Simplifying -28 + -4v = -2v + 8(v + -6) Reorder the terms: -28 + -4v = -2v + 8(-6 + v) -28 + -4v = -2v + (-6 * 8 + v * 8) -28 + -4v = -2v + (-48 + 8v) Reorder the terms: -28 + -4v = -48 + -2v + 8v Combine like terms: -2v + 8v = 6v -28 + -4v = -48 + 6v Solving -28 + -4v = -48 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -28 + -4v + -6v = -48 + 6v + -6v Combine like terms: -4v + -6v = -10v -28 + -10v = -48 + 6v + -6v Combine like terms: 6v + -6v = 0 -28 + -10v = -48 + 0 -28 + -10v = -48 Add '28' to each side of the equation. -28 + 28 + -10v = -48 + 28 Combine like terms: -28 + 28 = 0 0 + -10v = -48 + 28 -10v = -48 + 28 Combine like terms: -48 + 28 = -20 -10v = -20 Divide each side by '-10'. v = 2 Simplifying v = 2
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