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Simplifying 3l + 45 = 6l + 10 Reorder the terms: 45 + 3l = 6l + 10 Reorder the terms: 45 + 3l = 10 + 6l Solving 45 + 3l = 10 + 6l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6l' to each side of the equation. 45 + 3l + -6l = 10 + 6l + -6l Combine like terms: 3l + -6l = -3l 45 + -3l = 10 + 6l + -6l Combine like terms: 6l + -6l = 0 45 + -3l = 10 + 0 45 + -3l = 10 Add '-45' to each side of the equation. 45 + -45 + -3l = 10 + -45 Combine like terms: 45 + -45 = 0 0 + -3l = 10 + -45 -3l = 10 + -45 Combine like terms: 10 + -45 = -35 -3l = -35 Divide each side by '-3'. l = 11.66666667 Simplifying l = 11.66666667
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