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Simplifying 6(t + -1l) = 9(t + -4) Reorder the terms: 6(-1l + t) = 9(t + -4) (-1l * 6 + t * 6) = 9(t + -4) (-6l + 6t) = 9(t + -4) Reorder the terms: -6l + 6t = 9(-4 + t) -6l + 6t = (-4 * 9 + t * 9) -6l + 6t = (-36 + 9t) Solving -6l + 6t = -36 + 9t Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6t' to each side of the equation. -6l + 6t + -6t = -36 + 9t + -6t Combine like terms: 6t + -6t = 0 -6l + 0 = -36 + 9t + -6t -6l = -36 + 9t + -6t Combine like terms: 9t + -6t = 3t -6l = -36 + 3t Divide each side by '-6'. l = 6 + -0.5t Simplifying l = 6 + -0.5t
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