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Simplifying 8(7g + -9) + -6(7g + -6) = -1g + 9(g + -8) Reorder the terms: 8(-9 + 7g) + -6(7g + -6) = -1g + 9(g + -8) (-9 * 8 + 7g * 8) + -6(7g + -6) = -1g + 9(g + -8) (-72 + 56g) + -6(7g + -6) = -1g + 9(g + -8) Reorder the terms: -72 + 56g + -6(-6 + 7g) = -1g + 9(g + -8) -72 + 56g + (-6 * -6 + 7g * -6) = -1g + 9(g + -8) -72 + 56g + (36 + -42g) = -1g + 9(g + -8) Reorder the terms: -72 + 36 + 56g + -42g = -1g + 9(g + -8) Combine like terms: -72 + 36 = -36 -36 + 56g + -42g = -1g + 9(g + -8) Combine like terms: 56g + -42g = 14g -36 + 14g = -1g + 9(g + -8) Reorder the terms: -36 + 14g = -1g + 9(-8 + g) -36 + 14g = -1g + (-8 * 9 + g * 9) -36 + 14g = -1g + (-72 + 9g) Reorder the terms: -36 + 14g = -72 + -1g + 9g Combine like terms: -1g + 9g = 8g -36 + 14g = -72 + 8g Solving -36 + 14g = -72 + 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. -36 + 14g + -8g = -72 + 8g + -8g Combine like terms: 14g + -8g = 6g -36 + 6g = -72 + 8g + -8g Combine like terms: 8g + -8g = 0 -36 + 6g = -72 + 0 -36 + 6g = -72 Add '36' to each side of the equation. -36 + 36 + 6g = -72 + 36 Combine like terms: -36 + 36 = 0 0 + 6g = -72 + 36 6g = -72 + 36 Combine like terms: -72 + 36 = -36 6g = -36 Divide each side by '6'. g = -6 Simplifying g = -6
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