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Simplifying 0 = 7(-2g + -3) + 8(3g + -2) Reorder the terms: 0 = 7(-3 + -2g) + 8(3g + -2) 0 = (-3 * 7 + -2g * 7) + 8(3g + -2) 0 = (-21 + -14g) + 8(3g + -2) Reorder the terms: 0 = -21 + -14g + 8(-2 + 3g) 0 = -21 + -14g + (-2 * 8 + 3g * 8) 0 = -21 + -14g + (-16 + 24g) Reorder the terms: 0 = -21 + -16 + -14g + 24g Combine like terms: -21 + -16 = -37 0 = -37 + -14g + 24g Combine like terms: -14g + 24g = 10g 0 = -37 + 10g Solving 0 = -37 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. 0 + -10g = -37 + 10g + -10g Remove the zero: -10g = -37 + 10g + -10g Combine like terms: 10g + -10g = 0 -10g = -37 + 0 -10g = -37 Divide each side by '-10'. g = 3.7 Simplifying g = 3.7
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