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Simplifying -2log(x + 8) = 4 + -2log(x + -7) Reorder the terms: -2glo(8 + x) = 4 + -2log(x + -7) (8 * -2glo + x * -2glo) = 4 + -2log(x + -7) (-16glo + -2glox) = 4 + -2log(x + -7) Reorder the terms: -16glo + -2glox = 4 + -2glo(-7 + x) -16glo + -2glox = 4 + (-7 * -2glo + x * -2glo) -16glo + -2glox = 4 + (14glo + -2glox) Add '2glox' to each side of the equation. -16glo + -2glox + 2glox = 4 + 14glo + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 -16glo + 0 = 4 + 14glo + -2glox + 2glox -16glo = 4 + 14glo + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 -16glo = 4 + 14glo + 0 -16glo = 4 + 14glo Solving -16glo = 4 + 14glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14glo' to each side of the equation. -16glo + -14glo = 4 + 14glo + -14glo Combine like terms: -16glo + -14glo = -30glo -30glo = 4 + 14glo + -14glo Combine like terms: 14glo + -14glo = 0 -30glo = 4 + 0 -30glo = 4 Divide each side by '-30lo'. g = -0.1333333333l-1o-1 Simplifying g = -0.1333333333l-1o-1
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