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Simplifying 8g + 6(g + -2) = -10(g + -4) + -1g Reorder the terms: 8g + 6(-2 + g) = -10(g + -4) + -1g 8g + (-2 * 6 + g * 6) = -10(g + -4) + -1g 8g + (-12 + 6g) = -10(g + -4) + -1g Reorder the terms: -12 + 8g + 6g = -10(g + -4) + -1g Combine like terms: 8g + 6g = 14g -12 + 14g = -10(g + -4) + -1g Reorder the terms: -12 + 14g = -10(-4 + g) + -1g -12 + 14g = (-4 * -10 + g * -10) + -1g -12 + 14g = (40 + -10g) + -1g Combine like terms: -10g + -1g = -11g -12 + 14g = 40 + -11g Solving -12 + 14g = 40 + -11g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '11g' to each side of the equation. -12 + 14g + 11g = 40 + -11g + 11g Combine like terms: 14g + 11g = 25g -12 + 25g = 40 + -11g + 11g Combine like terms: -11g + 11g = 0 -12 + 25g = 40 + 0 -12 + 25g = 40 Add '12' to each side of the equation. -12 + 12 + 25g = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 25g = 40 + 12 25g = 40 + 12 Combine like terms: 40 + 12 = 52 25g = 52 Divide each side by '25'. g = 2.08 Simplifying g = 2.08
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