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Simplifying 0.4(10t + -50) = 4(9 + -6t) Reorder the terms: 0.4(-50 + 10t) = 4(9 + -6t) (-50 * 0.4 + 10t * 0.4) = 4(9 + -6t) (-20 + 4t) = 4(9 + -6t) -20 + 4t = (9 * 4 + -6t * 4) -20 + 4t = (36 + -24t) Solving -20 + 4t = 36 + -24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24t' to each side of the equation. -20 + 4t + 24t = 36 + -24t + 24t Combine like terms: 4t + 24t = 28t -20 + 28t = 36 + -24t + 24t Combine like terms: -24t + 24t = 0 -20 + 28t = 36 + 0 -20 + 28t = 36 Add '20' to each side of the equation. -20 + 20 + 28t = 36 + 20 Combine like terms: -20 + 20 = 0 0 + 28t = 36 + 20 28t = 36 + 20 Combine like terms: 36 + 20 = 56 28t = 56 Divide each side by '28'. t = 2 Simplifying t = 2
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