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Simplifying 7(t + 4) + -3(l + t) = 19 Reorder the terms: 7(4 + t) + -3(l + t) = 19 (4 * 7 + t * 7) + -3(l + t) = 19 (28 + 7t) + -3(l + t) = 19 28 + 7t + (l * -3 + t * -3) = 19 28 + 7t + (-3l + -3t) = 19 Reorder the terms: 28 + -3l + 7t + -3t = 19 Combine like terms: 7t + -3t = 4t 28 + -3l + 4t = 19 Solving 28 + -3l + 4t = 19 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -3l + -28 + 4t = 19 + -28 Reorder the terms: 28 + -28 + -3l + 4t = 19 + -28 Combine like terms: 28 + -28 = 0 0 + -3l + 4t = 19 + -28 -3l + 4t = 19 + -28 Combine like terms: 19 + -28 = -9 -3l + 4t = -9 Add '-4t' to each side of the equation. -3l + 4t + -4t = -9 + -4t Combine like terms: 4t + -4t = 0 -3l + 0 = -9 + -4t -3l = -9 + -4t Divide each side by '-3'. l = 3 + 1.333333333t Simplifying l = 3 + 1.333333333t
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