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Simplifying 4g + -1 = -3(5 + -2g) + 2 Reorder the terms: -1 + 4g = -3(5 + -2g) + 2 -1 + 4g = (5 * -3 + -2g * -3) + 2 -1 + 4g = (-15 + 6g) + 2 Reorder the terms: -1 + 4g = -15 + 2 + 6g Combine like terms: -15 + 2 = -13 -1 + 4g = -13 + 6g Solving -1 + 4g = -13 + 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. -1 + 4g + -6g = -13 + 6g + -6g Combine like terms: 4g + -6g = -2g -1 + -2g = -13 + 6g + -6g Combine like terms: 6g + -6g = 0 -1 + -2g = -13 + 0 -1 + -2g = -13 Add '1' to each side of the equation. -1 + 1 + -2g = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -2g = -13 + 1 -2g = -13 + 1 Combine like terms: -13 + 1 = -12 -2g = -12 Divide each side by '-2'. g = 6 Simplifying g = 6
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