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Simplifying 4(2g + -1) = 2(5g + 13) Reorder the terms: 4(-1 + 2g) = 2(5g + 13) (-1 * 4 + 2g * 4) = 2(5g + 13) (-4 + 8g) = 2(5g + 13) Reorder the terms: -4 + 8g = 2(13 + 5g) -4 + 8g = (13 * 2 + 5g * 2) -4 + 8g = (26 + 10g) Solving -4 + 8g = 26 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. -4 + 8g + -10g = 26 + 10g + -10g Combine like terms: 8g + -10g = -2g -4 + -2g = 26 + 10g + -10g Combine like terms: 10g + -10g = 0 -4 + -2g = 26 + 0 -4 + -2g = 26 Add '4' to each side of the equation. -4 + 4 + -2g = 26 + 4 Combine like terms: -4 + 4 = 0 0 + -2g = 26 + 4 -2g = 26 + 4 Combine like terms: 26 + 4 = 30 -2g = 30 Divide each side by '-2'. g = -15 Simplifying g = -15
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