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Simplifying 4(2t + 4) = 2(11t + 11) Reorder the terms: 4(4 + 2t) = 2(11t + 11) (4 * 4 + 2t * 4) = 2(11t + 11) (16 + 8t) = 2(11t + 11) Reorder the terms: 16 + 8t = 2(11 + 11t) 16 + 8t = (11 * 2 + 11t * 2) 16 + 8t = (22 + 22t) Solving 16 + 8t = 22 + 22t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22t' to each side of the equation. 16 + 8t + -22t = 22 + 22t + -22t Combine like terms: 8t + -22t = -14t 16 + -14t = 22 + 22t + -22t Combine like terms: 22t + -22t = 0 16 + -14t = 22 + 0 16 + -14t = 22 Add '-16' to each side of the equation. 16 + -16 + -14t = 22 + -16 Combine like terms: 16 + -16 = 0 0 + -14t = 22 + -16 -14t = 22 + -16 Combine like terms: 22 + -16 = 6 -14t = 6 Divide each side by '-14'. t = -0.4285714286 Simplifying t = -0.4285714286
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