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Simplifying 1 + -0.6(g + -5) = 0.7(3g + -5) Reorder the terms: 1 + -0.6(-5 + g) = 0.7(3g + -5) 1 + (-5 * -0.6 + g * -0.6) = 0.7(3g + -5) 1 + (3 + -0.6g) = 0.7(3g + -5) Combine like terms: 1 + 3 = 4 4 + -0.6g = 0.7(3g + -5) Reorder the terms: 4 + -0.6g = 0.7(-5 + 3g) 4 + -0.6g = (-5 * 0.7 + 3g * 0.7) 4 + -0.6g = (-3.5 + 2.1g) Solving 4 + -0.6g = -3.5 + 2.1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2.1g' to each side of the equation. 4 + -0.6g + -2.1g = -3.5 + 2.1g + -2.1g Combine like terms: -0.6g + -2.1g = -2.7g 4 + -2.7g = -3.5 + 2.1g + -2.1g Combine like terms: 2.1g + -2.1g = 0.0 4 + -2.7g = -3.5 + 0.0 4 + -2.7g = -3.5 Add '-4' to each side of the equation. 4 + -4 + -2.7g = -3.5 + -4 Combine like terms: 4 + -4 = 0 0 + -2.7g = -3.5 + -4 -2.7g = -3.5 + -4 Combine like terms: -3.5 + -4 = -7.5 -2.7g = -7.5 Divide each side by '-2.7'. g = 2.777777778 Simplifying g = 2.777777778
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