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Simplifying -7g + 14(g + -6) = -8(-6 + g) + 3 Reorder the terms: -7g + 14(-6 + g) = -8(-6 + g) + 3 -7g + (-6 * 14 + g * 14) = -8(-6 + g) + 3 -7g + (-84 + 14g) = -8(-6 + g) + 3 Reorder the terms: -84 + -7g + 14g = -8(-6 + g) + 3 Combine like terms: -7g + 14g = 7g -84 + 7g = -8(-6 + g) + 3 -84 + 7g = (-6 * -8 + g * -8) + 3 -84 + 7g = (48 + -8g) + 3 Reorder the terms: -84 + 7g = 48 + 3 + -8g Combine like terms: 48 + 3 = 51 -84 + 7g = 51 + -8g Solving -84 + 7g = 51 + -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. -84 + 7g + 8g = 51 + -8g + 8g Combine like terms: 7g + 8g = 15g -84 + 15g = 51 + -8g + 8g Combine like terms: -8g + 8g = 0 -84 + 15g = 51 + 0 -84 + 15g = 51 Add '84' to each side of the equation. -84 + 84 + 15g = 51 + 84 Combine like terms: -84 + 84 = 0 0 + 15g = 51 + 84 15g = 51 + 84 Combine like terms: 51 + 84 = 135 15g = 135 Divide each side by '15'. g = 9 Simplifying g = 9
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