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Simplifying 4(g + -3) = 6(g + 4) Reorder the terms: 4(-3 + g) = 6(g + 4) (-3 * 4 + g * 4) = 6(g + 4) (-12 + 4g) = 6(g + 4) Reorder the terms: -12 + 4g = 6(4 + g) -12 + 4g = (4 * 6 + g * 6) -12 + 4g = (24 + 6g) Solving -12 + 4g = 24 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -12 + 4g + -6g = 24 + 6g + -6g Combine like terms: 4g + -6g = -2g -12 + -2g = 24 + 6g + -6g Combine like terms: 6g + -6g = 0 -12 + -2g = 24 + 0 -12 + -2g = 24 Add '12' to each side of the equation. -12 + 12 + -2g = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -2g = 24 + 12 -2g = 24 + 12 Combine like terms: 24 + 12 = 36 -2g = 36 Divide each side by '-2'. g = -18 Simplifying g = -18
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