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Simplifying -5(11 + -3t) = 6t + -4 (11 * -5 + -3t * -5) = 6t + -4 (-55 + 15t) = 6t + -4 Reorder the terms: -55 + 15t = -4 + 6t Solving -55 + 15t = -4 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -55 + 15t + -6t = -4 + 6t + -6t Combine like terms: 15t + -6t = 9t -55 + 9t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 -55 + 9t = -4 + 0 -55 + 9t = -4 Add '55' to each side of the equation. -55 + 55 + 9t = -4 + 55 Combine like terms: -55 + 55 = 0 0 + 9t = -4 + 55 9t = -4 + 55 Combine like terms: -4 + 55 = 51 9t = 51 Divide each side by '9'. t = 5.666666667 Simplifying t = 5.666666667
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