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Simplifying 3g + -2(3 + 5g) = -2g + 4 3g + (3 * -2 + 5g * -2) = -2g + 4 3g + (-6 + -10g) = -2g + 4 Reorder the terms: -6 + 3g + -10g = -2g + 4 Combine like terms: 3g + -10g = -7g -6 + -7g = -2g + 4 Reorder the terms: -6 + -7g = 4 + -2g Solving -6 + -7g = 4 + -2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2g' to each side of the equation. -6 + -7g + 2g = 4 + -2g + 2g Combine like terms: -7g + 2g = -5g -6 + -5g = 4 + -2g + 2g Combine like terms: -2g + 2g = 0 -6 + -5g = 4 + 0 -6 + -5g = 4 Add '6' to each side of the equation. -6 + 6 + -5g = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -5g = 4 + 6 -5g = 4 + 6 Combine like terms: 4 + 6 = 10 -5g = 10 Divide each side by '-5'. g = -2 Simplifying g = -2
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