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Simplifying 11(7t + 6) + -16 = t + -1(t + 4) Reorder the terms: 11(6 + 7t) + -16 = t + -1(t + 4) (6 * 11 + 7t * 11) + -16 = t + -1(t + 4) (66 + 77t) + -16 = t + -1(t + 4) Reorder the terms: 66 + -16 + 77t = t + -1(t + 4) Combine like terms: 66 + -16 = 50 50 + 77t = t + -1(t + 4) Reorder the terms: 50 + 77t = t + -1(4 + t) 50 + 77t = t + (4 * -1 + t * -1) 50 + 77t = t + (-4 + -1t) Reorder the terms: 50 + 77t = -4 + t + -1t Combine like terms: t + -1t = 0 50 + 77t = -4 + 0 50 + 77t = -4 Solving 50 + 77t = -4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 77t = -4 + -50 Combine like terms: 50 + -50 = 0 0 + 77t = -4 + -50 77t = -4 + -50 Combine like terms: -4 + -50 = -54 77t = -54 Divide each side by '77'. t = -0.7012987013 Simplifying t = -0.7012987013
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