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Simplifying (g) + -2(3x + -2) = 3(2 + -5x) g + -2(3x + -2) = 3(2 + -5x) Reorder the terms: g + -2(-2 + 3x) = 3(2 + -5x) g + (-2 * -2 + 3x * -2) = 3(2 + -5x) g + (4 + -6x) = 3(2 + -5x) Reorder the terms: 4 + g + -6x = 3(2 + -5x) 4 + g + -6x = (2 * 3 + -5x * 3) 4 + g + -6x = (6 + -15x) Solving 4 + g + -6x = 6 + -15x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + g + -4 + -6x = 6 + -4 + -15x Reorder the terms: 4 + -4 + g + -6x = 6 + -4 + -15x Combine like terms: 4 + -4 = 0 0 + g + -6x = 6 + -4 + -15x g + -6x = 6 + -4 + -15x Combine like terms: 6 + -4 = 2 g + -6x = 2 + -15x Add '6x' to each side of the equation. g + -6x + 6x = 2 + -15x + 6x Combine like terms: -6x + 6x = 0 g + 0 = 2 + -15x + 6x g = 2 + -15x + 6x Combine like terms: -15x + 6x = -9x g = 2 + -9x Simplifying g = 2 + -9x
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