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Simplifying 6x + 4(-5 + 2g) = 1 + -1g 6x + (-5 * 4 + 2g * 4) = 1 + -1g 6x + (-20 + 8g) = 1 + -1g Reorder the terms: -20 + 8g + 6x = 1 + -1g Solving -20 + 8g + 6x = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. -20 + 8g + g + 6x = 1 + -1g + g Combine like terms: 8g + g = 9g -20 + 9g + 6x = 1 + -1g + g Combine like terms: -1g + g = 0 -20 + 9g + 6x = 1 + 0 -20 + 9g + 6x = 1 Add '20' to each side of the equation. -20 + 9g + 20 + 6x = 1 + 20 Reorder the terms: -20 + 20 + 9g + 6x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 9g + 6x = 1 + 20 9g + 6x = 1 + 20 Combine like terms: 1 + 20 = 21 9g + 6x = 21 Add '-6x' to each side of the equation. 9g + 6x + -6x = 21 + -6x Combine like terms: 6x + -6x = 0 9g + 0 = 21 + -6x 9g = 21 + -6x Divide each side by '9'. g = 2.333333333 + -0.6666666667x Simplifying g = 2.333333333 + -0.6666666667x
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