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Simplifying 8g + 6(g + -2) = 10(g + -4) + -2g Reorder the terms: 8g + 6(-2 + g) = 10(g + -4) + -2g 8g + (-2 * 6 + g * 6) = 10(g + -4) + -2g 8g + (-12 + 6g) = 10(g + -4) + -2g Reorder the terms: -12 + 8g + 6g = 10(g + -4) + -2g Combine like terms: 8g + 6g = 14g -12 + 14g = 10(g + -4) + -2g Reorder the terms: -12 + 14g = 10(-4 + g) + -2g -12 + 14g = (-4 * 10 + g * 10) + -2g -12 + 14g = (-40 + 10g) + -2g Combine like terms: 10g + -2g = 8g -12 + 14g = -40 + 8g Solving -12 + 14g = -40 + 8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g' to each side of the equation. -12 + 14g + -8g = -40 + 8g + -8g Combine like terms: 14g + -8g = 6g -12 + 6g = -40 + 8g + -8g Combine like terms: 8g + -8g = 0 -12 + 6g = -40 + 0 -12 + 6g = -40 Add '12' to each side of the equation. -12 + 12 + 6g = -40 + 12 Combine like terms: -12 + 12 = 0 0 + 6g = -40 + 12 6g = -40 + 12 Combine like terms: -40 + 12 = -28 6g = -28 Divide each side by '6'. g = -4.666666667 Simplifying g = -4.666666667
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