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Simplifying 5(3g + -6) + -4g = -4(g + -6) + 36 Reorder the terms: 5(-6 + 3g) + -4g = -4(g + -6) + 36 (-6 * 5 + 3g * 5) + -4g = -4(g + -6) + 36 (-30 + 15g) + -4g = -4(g + -6) + 36 Combine like terms: 15g + -4g = 11g -30 + 11g = -4(g + -6) + 36 Reorder the terms: -30 + 11g = -4(-6 + g) + 36 -30 + 11g = (-6 * -4 + g * -4) + 36 -30 + 11g = (24 + -4g) + 36 Reorder the terms: -30 + 11g = 24 + 36 + -4g Combine like terms: 24 + 36 = 60 -30 + 11g = 60 + -4g Solving -30 + 11g = 60 + -4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4g' to each side of the equation. -30 + 11g + 4g = 60 + -4g + 4g Combine like terms: 11g + 4g = 15g -30 + 15g = 60 + -4g + 4g Combine like terms: -4g + 4g = 0 -30 + 15g = 60 + 0 -30 + 15g = 60 Add '30' to each side of the equation. -30 + 30 + 15g = 60 + 30 Combine like terms: -30 + 30 = 0 0 + 15g = 60 + 30 15g = 60 + 30 Combine like terms: 60 + 30 = 90 15g = 90 Divide each side by '15'. g = 6 Simplifying g = 6
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