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Simplifying 6(2l + -7) + 1 = 5l + 2(7l + -2) Reorder the terms: 6(-7 + 2l) + 1 = 5l + 2(7l + -2) (-7 * 6 + 2l * 6) + 1 = 5l + 2(7l + -2) (-42 + 12l) + 1 = 5l + 2(7l + -2) Reorder the terms: -42 + 1 + 12l = 5l + 2(7l + -2) Combine like terms: -42 + 1 = -41 -41 + 12l = 5l + 2(7l + -2) Reorder the terms: -41 + 12l = 5l + 2(-2 + 7l) -41 + 12l = 5l + (-2 * 2 + 7l * 2) -41 + 12l = 5l + (-4 + 14l) Reorder the terms: -41 + 12l = -4 + 5l + 14l Combine like terms: 5l + 14l = 19l -41 + 12l = -4 + 19l Solving -41 + 12l = -4 + 19l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-19l' to each side of the equation. -41 + 12l + -19l = -4 + 19l + -19l Combine like terms: 12l + -19l = -7l -41 + -7l = -4 + 19l + -19l Combine like terms: 19l + -19l = 0 -41 + -7l = -4 + 0 -41 + -7l = -4 Add '41' to each side of the equation. -41 + 41 + -7l = -4 + 41 Combine like terms: -41 + 41 = 0 0 + -7l = -4 + 41 -7l = -4 + 41 Combine like terms: -4 + 41 = 37 -7l = 37 Divide each side by '-7'. l = -5.285714286 Simplifying l = -5.285714286
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