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Simplifying 2l + 2(10) = 10 + 4(l + -10) Multiply 2 * 10 2l + 20 = 10 + 4(l + -10) Reorder the terms: 20 + 2l = 10 + 4(l + -10) Reorder the terms: 20 + 2l = 10 + 4(-10 + l) 20 + 2l = 10 + (-10 * 4 + l * 4) 20 + 2l = 10 + (-40 + 4l) Combine like terms: 10 + -40 = -30 20 + 2l = -30 + 4l Solving 20 + 2l = -30 + 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. 20 + 2l + -4l = -30 + 4l + -4l Combine like terms: 2l + -4l = -2l 20 + -2l = -30 + 4l + -4l Combine like terms: 4l + -4l = 0 20 + -2l = -30 + 0 20 + -2l = -30 Add '-20' to each side of the equation. 20 + -20 + -2l = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -2l = -30 + -20 -2l = -30 + -20 Combine like terms: -30 + -20 = -50 -2l = -50 Divide each side by '-2'. l = 25 Simplifying l = 25
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