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Simplifying 4(3G + -6) = 6(3G + 5) Reorder the terms: 4(-6 + 3G) = 6(3G + 5) (-6 * 4 + 3G * 4) = 6(3G + 5) (-24 + 12G) = 6(3G + 5) Reorder the terms: -24 + 12G = 6(5 + 3G) -24 + 12G = (5 * 6 + 3G * 6) -24 + 12G = (30 + 18G) Solving -24 + 12G = 30 + 18G Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-18G' to each side of the equation. -24 + 12G + -18G = 30 + 18G + -18G Combine like terms: 12G + -18G = -6G -24 + -6G = 30 + 18G + -18G Combine like terms: 18G + -18G = 0 -24 + -6G = 30 + 0 -24 + -6G = 30 Add '24' to each side of the equation. -24 + 24 + -6G = 30 + 24 Combine like terms: -24 + 24 = 0 0 + -6G = 30 + 24 -6G = 30 + 24 Combine like terms: 30 + 24 = 54 -6G = 54 Divide each side by '-6'. G = -9 Simplifying G = -9
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