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Simplifying 4(g + -2) + g = 6(g + -4) Reorder the terms: 4(-2 + g) + g = 6(g + -4) (-2 * 4 + g * 4) + g = 6(g + -4) (-8 + 4g) + g = 6(g + -4) Combine like terms: 4g + g = 5g -8 + 5g = 6(g + -4) Reorder the terms: -8 + 5g = 6(-4 + g) -8 + 5g = (-4 * 6 + g * 6) -8 + 5g = (-24 + 6g) Solving -8 + 5g = -24 + 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. -8 + 5g + -6g = -24 + 6g + -6g Combine like terms: 5g + -6g = -1g -8 + -1g = -24 + 6g + -6g Combine like terms: 6g + -6g = 0 -8 + -1g = -24 + 0 -8 + -1g = -24 Add '8' to each side of the equation. -8 + 8 + -1g = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -1g = -24 + 8 -1g = -24 + 8 Combine like terms: -24 + 8 = -16 -1g = -16 Divide each side by '-1'. g = 16 Simplifying g = 16
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