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Simplifying 2(g + -4) = 5g + 7 Reorder the terms: 2(-4 + g) = 5g + 7 (-4 * 2 + g * 2) = 5g + 7 (-8 + 2g) = 5g + 7 Reorder the terms: -8 + 2g = 7 + 5g Solving -8 + 2g = 7 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. -8 + 2g + -5g = 7 + 5g + -5g Combine like terms: 2g + -5g = -3g -8 + -3g = 7 + 5g + -5g Combine like terms: 5g + -5g = 0 -8 + -3g = 7 + 0 -8 + -3g = 7 Add '8' to each side of the equation. -8 + 8 + -3g = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -3g = 7 + 8 -3g = 7 + 8 Combine like terms: 7 + 8 = 15 -3g = 15 Divide each side by '-3'. g = -5 Simplifying g = -5
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