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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 = -12g -12 + 14g = 40 + -12g Solving -12 + 14g = 40 + -12g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12g' to each side of the equation. -12 + 14g + 12g = 40 + -12g + 12g Combine like terms: 14g + 12g = 26g -12 + 26g = 40 + -12g + 12g Combine like terms: -12g + 12g = 0 -12 + 26g = 40 + 0 -12 + 26g = 40 Add '12' to each side of the equation. -12 + 12 + 26g = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 26g = 40 + 12 26g = 40 + 12 Combine like terms: 40 + 12 = 52 26g = 52 Divide each side by '26'. g = 2 Simplifying g = 2
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