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Simplifying 3g + -6(q + -8) = 42 Reorder the terms: 3g + -6(-8 + q) = 42 3g + (-8 * -6 + q * -6) = 42 3g + (48 + -6q) = 42 Reorder the terms: 48 + 3g + -6q = 42 Solving 48 + 3g + -6q = 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 + 3g + -48 + -6q = 42 + -48 Reorder the terms: 48 + -48 + 3g + -6q = 42 + -48 Combine like terms: 48 + -48 = 0 0 + 3g + -6q = 42 + -48 3g + -6q = 42 + -48 Combine like terms: 42 + -48 = -6 3g + -6q = -6 Add '6q' to each side of the equation. 3g + -6q + 6q = -6 + 6q Combine like terms: -6q + 6q = 0 3g + 0 = -6 + 6q 3g = -6 + 6q Divide each side by '3'. g = -2 + 2q Simplifying g = -2 + 2q
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