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Simplifying 6(3t + -2) + 5t = 11 + -1t Reorder the terms: 6(-2 + 3t) + 5t = 11 + -1t (-2 * 6 + 3t * 6) + 5t = 11 + -1t (-12 + 18t) + 5t = 11 + -1t Combine like terms: 18t + 5t = 23t -12 + 23t = 11 + -1t Solving -12 + 23t = 11 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -12 + 23t + t = 11 + -1t + t Combine like terms: 23t + t = 24t -12 + 24t = 11 + -1t + t Combine like terms: -1t + t = 0 -12 + 24t = 11 + 0 -12 + 24t = 11 Add '12' to each side of the equation. -12 + 12 + 24t = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 24t = 11 + 12 24t = 11 + 12 Combine like terms: 11 + 12 = 23 24t = 23 Divide each side by '24'. t = 0.9583333333 Simplifying t = 0.9583333333
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