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Simplifying 3(l + -7) + 4(8 + -21) + -7 = -4(1 + 2) + -6 Reorder the terms: 3(-7 + l) + 4(8 + -21) + -7 = -4(1 + 2) + -6 (-7 * 3 + l * 3) + 4(8 + -21) + -7 = -4(1 + 2) + -6 (-21 + 3l) + 4(8 + -21) + -7 = -4(1 + 2) + -6 Combine like terms: 8 + -21 = -13 -21 + 3l + 4(-13) + -7 = -4(1 + 2) + -6 Multiply 4 * -13 -21 + 3l + -52 + -7 = -4(1 + 2) + -6 Reorder the terms: -21 + -52 + -7 + 3l = -4(1 + 2) + -6 Combine like terms: -21 + -52 = -73 -73 + -7 + 3l = -4(1 + 2) + -6 Combine like terms: -73 + -7 = -80 -80 + 3l = -4(1 + 2) + -6 Combine like terms: 1 + 2 = 3 -80 + 3l = -4(3) + -6 Multiply -4 * 3 -80 + 3l = -12 + -6 Combine like terms: -12 + -6 = -18 -80 + 3l = -18 Solving -80 + 3l = -18 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 3l = -18 + 80 Combine like terms: -80 + 80 = 0 0 + 3l = -18 + 80 3l = -18 + 80 Combine like terms: -18 + 80 = 62 3l = 62 Divide each side by '3'. l = 20.66666667 Simplifying l = 20.66666667
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