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Simplifying 4 + 3(l + 1) = 4l + 6 Reorder the terms: 4 + 3(1 + l) = 4l + 6 4 + (1 * 3 + l * 3) = 4l + 6 4 + (3 + 3l) = 4l + 6 Combine like terms: 4 + 3 = 7 7 + 3l = 4l + 6 Reorder the terms: 7 + 3l = 6 + 4l Solving 7 + 3l = 6 + 4l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4l' to each side of the equation. 7 + 3l + -4l = 6 + 4l + -4l Combine like terms: 3l + -4l = -1l 7 + -1l = 6 + 4l + -4l Combine like terms: 4l + -4l = 0 7 + -1l = 6 + 0 7 + -1l = 6 Add '-7' to each side of the equation. 7 + -7 + -1l = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1l = 6 + -7 -1l = 6 + -7 Combine like terms: 6 + -7 = -1 -1l = -1 Divide each side by '-1'. l = 1 Simplifying l = 1
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