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Simplifying 6 + -1L + 3m * -1 = -12 + -27 Reorder the terms for easier multiplication: 6 + -1L + 3 * -1m = -12 + -27 Multiply 3 * -1 6 + -1L + -3m = -12 + -27 Combine like terms: -12 + -27 = -39 6 + -1L + -3m = -39 Solving 6 + -1L + -3m = -39 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1L + -6 + -3m = -39 + -6 Reorder the terms: 6 + -6 + -1L + -3m = -39 + -6 Combine like terms: 6 + -6 = 0 0 + -1L + -3m = -39 + -6 -1L + -3m = -39 + -6 Combine like terms: -39 + -6 = -45 -1L + -3m = -45 Add '3m' to each side of the equation. -1L + -3m + 3m = -45 + 3m Combine like terms: -3m + 3m = 0 -1L + 0 = -45 + 3m -1L = -45 + 3m Divide each side by '-1'. L = 45 + -3m Simplifying L = 45 + -3m
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