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Simplifying 4(2g + -1) = (5g + 13) Reorder the terms: 4(-1 + 2g) = (5g + 13) (-1 * 4 + 2g * 4) = (5g + 13) (-4 + 8g) = (5g + 13) Reorder the terms: -4 + 8g = (13 + 5g) Remove parenthesis around (13 + 5g) -4 + 8g = 13 + 5g Solving -4 + 8g = 13 + 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. -4 + 8g + -5g = 13 + 5g + -5g Combine like terms: 8g + -5g = 3g -4 + 3g = 13 + 5g + -5g Combine like terms: 5g + -5g = 0 -4 + 3g = 13 + 0 -4 + 3g = 13 Add '4' to each side of the equation. -4 + 4 + 3g = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 3g = 13 + 4 3g = 13 + 4 Combine like terms: 13 + 4 = 17 3g = 17 Divide each side by '3'. g = 5.666666667 Simplifying g = 5.666666667
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