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Simplifying log(8)(t + 10) + -1log(8)(t + -1) = log(8) * 12 Reorder the terms: glo * 8(10 + t) + -1log(8)(t + -1) = log(8) * 12 Reorder the terms for easier multiplication: 8glo(10 + t) + -1log(8)(t + -1) = log(8) * 12 (10 * 8glo + t * 8glo) + -1log(8)(t + -1) = log(8) * 12 (80glo + 8glot) + -1log(8)(t + -1) = log(8) * 12 Reorder the terms: 80glo + 8glot + -1glo * 8(-1 + t) = log(8) * 12 Reorder the terms for easier multiplication: 80glo + 8glot + -1 * 8glo(-1 + t) = log(8) * 12 Multiply -1 * 8 80glo + 8glot + -8glo(-1 + t) = log(8) * 12 80glo + 8glot + (-1 * -8glo + t * -8glo) = log(8) * 12 80glo + 8glot + (8glo + -8glot) = log(8) * 12 Reorder the terms: 80glo + 8glo + 8glot + -8glot = log(8) * 12 Combine like terms: 80glo + 8glo = 88glo 88glo + 8glot + -8glot = log(8) * 12 Combine like terms: 8glot + -8glot = 0 88glo + 0 = log(8) * 12 88glo = log(8) * 12 Reorder the terms for easier multiplication: 88glo = 8 * 12glo Multiply 8 * 12 88glo = 96glo Solving 88glo = 96glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-96glo' to each side of the equation. 88glo + -96glo = 96glo + -96glo Combine like terms: 88glo + -96glo = -8glo -8glo = 96glo + -96glo Combine like terms: 96glo + -96glo = 0 -8glo = 0 Divide each side by '-8'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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