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Simplifying -12 = 4(2g + -4) + 7(g + 7) Reorder the terms: -12 = 4(-4 + 2g) + 7(g + 7) -12 = (-4 * 4 + 2g * 4) + 7(g + 7) -12 = (-16 + 8g) + 7(g + 7) Reorder the terms: -12 = -16 + 8g + 7(7 + g) -12 = -16 + 8g + (7 * 7 + g * 7) -12 = -16 + 8g + (49 + 7g) Reorder the terms: -12 = -16 + 49 + 8g + 7g Combine like terms: -16 + 49 = 33 -12 = 33 + 8g + 7g Combine like terms: 8g + 7g = 15g -12 = 33 + 15g Solving -12 = 33 + 15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. -12 + -15g = 33 + 15g + -15g Combine like terms: 15g + -15g = 0 -12 + -15g = 33 + 0 -12 + -15g = 33 Add '12' to each side of the equation. -12 + 12 + -15g = 33 + 12 Combine like terms: -12 + 12 = 0 0 + -15g = 33 + 12 -15g = 33 + 12 Combine like terms: 33 + 12 = 45 -15g = 45 Divide each side by '-15'. g = -3 Simplifying g = -3
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