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Simplifying 3x + -6(g + -8) = 42 Reorder the terms: 3x + -6(-8 + g) = 42 3x + (-8 * -6 + g * -6) = 42 3x + (48 + -6g) = 42 Reorder the terms: 48 + -6g + 3x = 42 Solving 48 + -6g + 3x = 42 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -6g + -48 + 3x = 42 + -48 Reorder the terms: 48 + -48 + -6g + 3x = 42 + -48 Combine like terms: 48 + -48 = 0 0 + -6g + 3x = 42 + -48 -6g + 3x = 42 + -48 Combine like terms: 42 + -48 = -6 -6g + 3x = -6 Add '-3x' to each side of the equation. -6g + 3x + -3x = -6 + -3x Combine like terms: 3x + -3x = 0 -6g + 0 = -6 + -3x -6g = -6 + -3x Divide each side by '-6'. g = 1 + 0.5x Simplifying g = 1 + 0.5x
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