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Simplifying 11(4 + -6t) + 5(13y + 1) = 9 (4 * 11 + -6t * 11) + 5(13y + 1) = 9 (44 + -66t) + 5(13y + 1) = 9 Reorder the terms: 44 + -66t + 5(1 + 13y) = 9 44 + -66t + (1 * 5 + 13y * 5) = 9 44 + -66t + (5 + 65y) = 9 Reorder the terms: 44 + 5 + -66t + 65y = 9 Combine like terms: 44 + 5 = 49 49 + -66t + 65y = 9 Solving 49 + -66t + 65y = 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 + -66t + -49 + 65y = 9 + -49 Reorder the terms: 49 + -49 + -66t + 65y = 9 + -49 Combine like terms: 49 + -49 = 0 0 + -66t + 65y = 9 + -49 -66t + 65y = 9 + -49 Combine like terms: 9 + -49 = -40 -66t + 65y = -40 Add '-65y' to each side of the equation. -66t + 65y + -65y = -40 + -65y Combine like terms: 65y + -65y = 0 -66t + 0 = -40 + -65y -66t = -40 + -65y Divide each side by '-66'. t = 0.6060606061 + 0.9848484848y Simplifying t = 0.6060606061 + 0.9848484848y
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