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Simplifying 2(4t + -9) = 22t + -1(t + 9) Reorder the terms: 2(-9 + 4t) = 22t + -1(t + 9) (-9 * 2 + 4t * 2) = 22t + -1(t + 9) (-18 + 8t) = 22t + -1(t + 9) Reorder the terms: -18 + 8t = 22t + -1(9 + t) -18 + 8t = 22t + (9 * -1 + t * -1) -18 + 8t = 22t + (-9 + -1t) Reorder the terms: -18 + 8t = -9 + 22t + -1t Combine like terms: 22t + -1t = 21t -18 + 8t = -9 + 21t Solving -18 + 8t = -9 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -18 + 8t + -21t = -9 + 21t + -21t Combine like terms: 8t + -21t = -13t -18 + -13t = -9 + 21t + -21t Combine like terms: 21t + -21t = 0 -18 + -13t = -9 + 0 -18 + -13t = -9 Add '18' to each side of the equation. -18 + 18 + -13t = -9 + 18 Combine like terms: -18 + 18 = 0 0 + -13t = -9 + 18 -13t = -9 + 18 Combine like terms: -9 + 18 = 9 -13t = 9 Divide each side by '-13'. t = -0.6923076923 Simplifying t = -0.6923076923
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