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Simplifying 12m + -3l + 2m + -4l = l + -45m Reorder the terms: -3l + -4l + 12m + 2m = l + -45m Combine like terms: -3l + -4l = -7l -7l + 12m + 2m = l + -45m Combine like terms: 12m + 2m = 14m -7l + 14m = l + -45m Solving -7l + 14m = l + -45m Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1l' to each side of the equation. -7l + -1l + 14m = l + -1l + -45m Combine like terms: -7l + -1l = -8l -8l + 14m = l + -1l + -45m Combine like terms: l + -1l = 0 -8l + 14m = 0 + -45m -8l + 14m = -45m Add '-14m' to each side of the equation. -8l + 14m + -14m = -45m + -14m Combine like terms: 14m + -14m = 0 -8l + 0 = -45m + -14m -8l = -45m + -14m Combine like terms: -45m + -14m = -59m -8l = -59m Divide each side by '-8'. l = 7.375m Simplifying l = 7.375m
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