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Simplifying -3(g + -2) + 1 = 1 + -6g Reorder the terms: -3(-2 + g) + 1 = 1 + -6g (-2 * -3 + g * -3) + 1 = 1 + -6g (6 + -3g) + 1 = 1 + -6g Reorder the terms: 6 + 1 + -3g = 1 + -6g Combine like terms: 6 + 1 = 7 7 + -3g = 1 + -6g Solving 7 + -3g = 1 + -6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6g' to each side of the equation. 7 + -3g + 6g = 1 + -6g + 6g Combine like terms: -3g + 6g = 3g 7 + 3g = 1 + -6g + 6g Combine like terms: -6g + 6g = 0 7 + 3g = 1 + 0 7 + 3g = 1 Add '-7' to each side of the equation. 7 + -7 + 3g = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 3g = 1 + -7 3g = 1 + -7 Combine like terms: 1 + -7 = -6 3g = -6 Divide each side by '3'. g = -2 Simplifying g = -2
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