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Simplifying 5g + -6 = 12(0.25g + -0.33) + 10 Reorder the terms: -6 + 5g = 12(0.25g + -0.33) + 10 Reorder the terms: -6 + 5g = 12(-0.33 + 0.25g) + 10 -6 + 5g = (-0.33 * 12 + 0.25g * 12) + 10 -6 + 5g = (-3.96 + 3g) + 10 Reorder the terms: -6 + 5g = -3.96 + 10 + 3g Combine like terms: -3.96 + 10 = 6.04 -6 + 5g = 6.04 + 3g Solving -6 + 5g = 6.04 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. -6 + 5g + -3g = 6.04 + 3g + -3g Combine like terms: 5g + -3g = 2g -6 + 2g = 6.04 + 3g + -3g Combine like terms: 3g + -3g = 0 -6 + 2g = 6.04 + 0 -6 + 2g = 6.04 Add '6' to each side of the equation. -6 + 6 + 2g = 6.04 + 6 Combine like terms: -6 + 6 = 0 0 + 2g = 6.04 + 6 2g = 6.04 + 6 Combine like terms: 6.04 + 6 = 12.04 2g = 12.04 Divide each side by '2'. g = 6.02 Simplifying g = 6.02
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