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Simplifying log[2] * 12 + -1x = 4 + -1log[3] Reorder the terms for easier multiplication: 2 * 12glo + -1x = 4 + -1log[3] Multiply 2 * 12 24glo + -1x = 4 + -1log[3] Reorder the terms for easier multiplication: 24glo + -1x = 4 + -1 * 3glo Multiply -1 * 3 24glo + -1x = 4 + -3glo Solving 24glo + -1x = 4 + -3glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3glo' to each side of the equation. 24glo + 3glo + -1x = 4 + -3glo + 3glo Combine like terms: 24glo + 3glo = 27glo 27glo + -1x = 4 + -3glo + 3glo Combine like terms: -3glo + 3glo = 0 27glo + -1x = 4 + 0 27glo + -1x = 4 Add 'x' to each side of the equation. 27glo + -1x + x = 4 + x Combine like terms: -1x + x = 0 27glo + 0 = 4 + x 27glo = 4 + x Divide each side by '27lo'. g = 0.1481481481l-1o-1 + 0.03703703704l-1o-1x Simplifying g = 0.1481481481l-1o-1 + 0.03703703704l-1o-1x
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