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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 = -21t 55 + -21t = -4 + 6t + -6t Combine like terms: 6t + -6t = 0 55 + -21t = -4 + 0 55 + -21t = -4 Add '-55' to each side of the equation. 55 + -55 + -21t = -4 + -55 Combine like terms: 55 + -55 = 0 0 + -21t = -4 + -55 -21t = -4 + -55 Combine like terms: -4 + -55 = -59 -21t = -59 Divide each side by '-21'. t = 2.80952381 Simplifying t = 2.80952381
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