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Simplifying 5(4g + -8) = -4(-7g + 6) Reorder the terms: 5(-8 + 4g) = -4(-7g + 6) (-8 * 5 + 4g * 5) = -4(-7g + 6) (-40 + 20g) = -4(-7g + 6) Reorder the terms: -40 + 20g = -4(6 + -7g) -40 + 20g = (6 * -4 + -7g * -4) -40 + 20g = (-24 + 28g) Solving -40 + 20g = -24 + 28g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-28g' to each side of the equation. -40 + 20g + -28g = -24 + 28g + -28g Combine like terms: 20g + -28g = -8g -40 + -8g = -24 + 28g + -28g Combine like terms: 28g + -28g = 0 -40 + -8g = -24 + 0 -40 + -8g = -24 Add '40' to each side of the equation. -40 + 40 + -8g = -24 + 40 Combine like terms: -40 + 40 = 0 0 + -8g = -24 + 40 -8g = -24 + 40 Combine like terms: -24 + 40 = 16 -8g = 16 Divide each side by '-8'. g = -2 Simplifying g = -2
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