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Simplifying t(3 + 2) + -6(t + -5) + -11 = 6 Combine like terms: 3 + 2 = 5 t(5) + -6(t + -5) + -11 = 6 Reorder the terms for easier multiplication: 5t + -6(t + -5) + -11 = 6 Reorder the terms: 5t + -6(-5 + t) + -11 = 6 5t + (-5 * -6 + t * -6) + -11 = 6 5t + (30 + -6t) + -11 = 6 Reorder the terms: 30 + -11 + 5t + -6t = 6 Combine like terms: 30 + -11 = 19 19 + 5t + -6t = 6 Combine like terms: 5t + -6t = -1t 19 + -1t = 6 Solving 19 + -1t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1t = 6 + -19 Combine like terms: 19 + -19 = 0 0 + -1t = 6 + -19 -1t = 6 + -19 Combine like terms: 6 + -19 = -13 -1t = -13 Divide each side by '-1'. t = 13 Simplifying t = 13
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