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Simplifying 4(l + -4) = 4(2l + -9) Reorder the terms: 4(-4 + l) = 4(2l + -9) (-4 * 4 + l * 4) = 4(2l + -9) (-16 + 4l) = 4(2l + -9) Reorder the terms: -16 + 4l = 4(-9 + 2l) -16 + 4l = (-9 * 4 + 2l * 4) -16 + 4l = (-36 + 8l) Solving -16 + 4l = -36 + 8l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8l' to each side of the equation. -16 + 4l + -8l = -36 + 8l + -8l Combine like terms: 4l + -8l = -4l -16 + -4l = -36 + 8l + -8l Combine like terms: 8l + -8l = 0 -16 + -4l = -36 + 0 -16 + -4l = -36 Add '16' to each side of the equation. -16 + 16 + -4l = -36 + 16 Combine like terms: -16 + 16 = 0 0 + -4l = -36 + 16 -4l = -36 + 16 Combine like terms: -36 + 16 = -20 -4l = -20 Divide each side by '-4'. l = 5 Simplifying l = 5
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