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Simplifying 6(4 + -1t) + 11 = -11(t + -3) + -5 (4 * 6 + -1t * 6) + 11 = -11(t + -3) + -5 (24 + -6t) + 11 = -11(t + -3) + -5 Reorder the terms: 24 + 11 + -6t = -11(t + -3) + -5 Combine like terms: 24 + 11 = 35 35 + -6t = -11(t + -3) + -5 Reorder the terms: 35 + -6t = -11(-3 + t) + -5 35 + -6t = (-3 * -11 + t * -11) + -5 35 + -6t = (33 + -11t) + -5 Reorder the terms: 35 + -6t = 33 + -5 + -11t Combine like terms: 33 + -5 = 28 35 + -6t = 28 + -11t Solving 35 + -6t = 28 + -11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11t' to each side of the equation. 35 + -6t + 11t = 28 + -11t + 11t Combine like terms: -6t + 11t = 5t 35 + 5t = 28 + -11t + 11t Combine like terms: -11t + 11t = 0 35 + 5t = 28 + 0 35 + 5t = 28 Add '-35' to each side of the equation. 35 + -35 + 5t = 28 + -35 Combine like terms: 35 + -35 = 0 0 + 5t = 28 + -35 5t = 28 + -35 Combine like terms: 28 + -35 = -7 5t = -7 Divide each side by '5'. t = -1.4 Simplifying t = -1.4
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