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Simplifying 8(2t + 4) = 4(11t + 11) Reorder the terms: 8(4 + 2t) = 4(11t + 11) (4 * 8 + 2t * 8) = 4(11t + 11) (32 + 16t) = 4(11t + 11) Reorder the terms: 32 + 16t = 4(11 + 11t) 32 + 16t = (11 * 4 + 11t * 4) 32 + 16t = (44 + 44t) Solving 32 + 16t = 44 + 44t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-44t' to each side of the equation. 32 + 16t + -44t = 44 + 44t + -44t Combine like terms: 16t + -44t = -28t 32 + -28t = 44 + 44t + -44t Combine like terms: 44t + -44t = 0 32 + -28t = 44 + 0 32 + -28t = 44 Add '-32' to each side of the equation. 32 + -32 + -28t = 44 + -32 Combine like terms: 32 + -32 = 0 0 + -28t = 44 + -32 -28t = 44 + -32 Combine like terms: 44 + -32 = 12 -28t = 12 Divide each side by '-28'. t = -0.4285714286 Simplifying t = -0.4285714286
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