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Simplifying -1x + 2(3 + g) = -4(g + 1) -1x + (3 * 2 + g * 2) = -4(g + 1) -1x + (6 + 2g) = -4(g + 1) Reorder the terms: 6 + 2g + -1x = -4(g + 1) Reorder the terms: 6 + 2g + -1x = -4(1 + g) 6 + 2g + -1x = (1 * -4 + g * -4) 6 + 2g + -1x = (-4 + -4g) Solving 6 + 2g + -1x = -4 + -4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4g' to each side of the equation. 6 + 2g + 4g + -1x = -4 + -4g + 4g Combine like terms: 2g + 4g = 6g 6 + 6g + -1x = -4 + -4g + 4g Combine like terms: -4g + 4g = 0 6 + 6g + -1x = -4 + 0 6 + 6g + -1x = -4 Add '-6' to each side of the equation. 6 + 6g + -6 + -1x = -4 + -6 Reorder the terms: 6 + -6 + 6g + -1x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 6g + -1x = -4 + -6 6g + -1x = -4 + -6 Combine like terms: -4 + -6 = -10 6g + -1x = -10 Add 'x' to each side of the equation. 6g + -1x + x = -10 + x Combine like terms: -1x + x = 0 6g + 0 = -10 + x 6g = -10 + x Divide each side by '6'. g = -1.666666667 + 0.1666666667x Simplifying g = -1.666666667 + 0.1666666667x
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