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Simplifying 1.2 = 6(4 + -0.4g) + -4.8 1.2 = (4 * 6 + -0.4g * 6) + -4.8 1.2 = (24 + -2.4g) + -4.8 Reorder the terms: 1.2 = 24 + -4.8 + -2.4g Combine like terms: 24 + -4.8 = 19.2 1.2 = 19.2 + -2.4g Solving 1.2 = 19.2 + -2.4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2.4g' to each side of the equation. 1.2 + 2.4g = 19.2 + -2.4g + 2.4g Combine like terms: -2.4g + 2.4g = 0.0 1.2 + 2.4g = 19.2 + 0.0 1.2 + 2.4g = 19.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 2.4g = 19.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 2.4g = 19.2 + -1.2 2.4g = 19.2 + -1.2 Combine like terms: 19.2 + -1.2 = 18 2.4g = 18 Divide each side by '2.4'. g = 7.5 Simplifying g = 7.5
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