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Simplifying 6 + -2r + l = 3r + -5(r + -2) Reorder the terms: 6 + l + -2r = 3r + -5(r + -2) Reorder the terms: 6 + l + -2r = 3r + -5(-2 + r) 6 + l + -2r = 3r + (-2 * -5 + r * -5) 6 + l + -2r = 3r + (10 + -5r) Reorder the terms: 6 + l + -2r = 10 + 3r + -5r Combine like terms: 3r + -5r = -2r 6 + l + -2r = 10 + -2r Add '2r' to each side of the equation. 6 + l + -2r + 2r = 10 + -2r + 2r Combine like terms: -2r + 2r = 0 6 + l + 0 = 10 + -2r + 2r 6 + l = 10 + -2r + 2r Combine like terms: -2r + 2r = 0 6 + l = 10 + 0 6 + l = 10 Solving 6 + l = 10 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + l = 10 + -6 Combine like terms: 6 + -6 = 0 0 + l = 10 + -6 l = 10 + -6 Combine like terms: 10 + -6 = 4 l = 4 Simplifying l = 4
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