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Simplifying 3(g + 6) = 5(g + -4) Reorder the terms: 3(6 + g) = 5(g + -4) (6 * 3 + g * 3) = 5(g + -4) (18 + 3g) = 5(g + -4) Reorder the terms: 18 + 3g = 5(-4 + g) 18 + 3g = (-4 * 5 + g * 5) 18 + 3g = (-20 + 5g) Solving 18 + 3g = -20 + 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. 18 + 3g + -5g = -20 + 5g + -5g Combine like terms: 3g + -5g = -2g 18 + -2g = -20 + 5g + -5g Combine like terms: 5g + -5g = 0 18 + -2g = -20 + 0 18 + -2g = -20 Add '-18' to each side of the equation. 18 + -18 + -2g = -20 + -18 Combine like terms: 18 + -18 = 0 0 + -2g = -20 + -18 -2g = -20 + -18 Combine like terms: -20 + -18 = -38 -2g = -38 Divide each side by '-2'. g = 19 Simplifying g = 19
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