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Simplifying 4(g + 1) = 5(g + -2) Reorder the terms: 4(1 + g) = 5(g + -2) (1 * 4 + g * 4) = 5(g + -2) (4 + 4g) = 5(g + -2) Reorder the terms: 4 + 4g = 5(-2 + g) 4 + 4g = (-2 * 5 + g * 5) 4 + 4g = (-10 + 5g) Solving 4 + 4g = -10 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. 4 + 4g + -5g = -10 + 5g + -5g Combine like terms: 4g + -5g = -1g 4 + -1g = -10 + 5g + -5g Combine like terms: 5g + -5g = 0 4 + -1g = -10 + 0 4 + -1g = -10 Add '-4' to each side of the equation. 4 + -4 + -1g = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = -10 + -4 -1g = -10 + -4 Combine like terms: -10 + -4 = -14 -1g = -14 Divide each side by '-1'. g = 14 Simplifying g = 14
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