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Simplifying 11(4 + -6y) + 5(13t + 1) = 9 (4 * 11 + -6y * 11) + 5(13t + 1) = 9 (44 + -66y) + 5(13t + 1) = 9 Reorder the terms: 44 + -66y + 5(1 + 13t) = 9 44 + -66y + (1 * 5 + 13t * 5) = 9 44 + -66y + (5 + 65t) = 9 Reorder the terms: 44 + 5 + 65t + -66y = 9 Combine like terms: 44 + 5 = 49 49 + 65t + -66y = 9 Solving 49 + 65t + -66y = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + 65t + -49 + -66y = 9 + -49 Reorder the terms: 49 + -49 + 65t + -66y = 9 + -49 Combine like terms: 49 + -49 = 0 0 + 65t + -66y = 9 + -49 65t + -66y = 9 + -49 Combine like terms: 9 + -49 = -40 65t + -66y = -40 Add '66y' to each side of the equation. 65t + -66y + 66y = -40 + 66y Combine like terms: -66y + 66y = 0 65t + 0 = -40 + 66y 65t = -40 + 66y Divide each side by '65'. t = -0.6153846154 + 1.015384615y Simplifying t = -0.6153846154 + 1.015384615y
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