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Simplifying 11(t + -3) + 3t = 7(3t + 5) + -11 Reorder the terms: 11(-3 + t) + 3t = 7(3t + 5) + -11 (-3 * 11 + t * 11) + 3t = 7(3t + 5) + -11 (-33 + 11t) + 3t = 7(3t + 5) + -11 Combine like terms: 11t + 3t = 14t -33 + 14t = 7(3t + 5) + -11 Reorder the terms: -33 + 14t = 7(5 + 3t) + -11 -33 + 14t = (5 * 7 + 3t * 7) + -11 -33 + 14t = (35 + 21t) + -11 Reorder the terms: -33 + 14t = 35 + -11 + 21t Combine like terms: 35 + -11 = 24 -33 + 14t = 24 + 21t Solving -33 + 14t = 24 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -33 + 14t + -21t = 24 + 21t + -21t Combine like terms: 14t + -21t = -7t -33 + -7t = 24 + 21t + -21t Combine like terms: 21t + -21t = 0 -33 + -7t = 24 + 0 -33 + -7t = 24 Add '33' to each side of the equation. -33 + 33 + -7t = 24 + 33 Combine like terms: -33 + 33 = 0 0 + -7t = 24 + 33 -7t = 24 + 33 Combine like terms: 24 + 33 = 57 -7t = 57 Divide each side by '-7'. t = -8.142857143 Simplifying t = -8.142857143
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