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Simplifying 4(4t + -2) = 3(5 + 1) Reorder the terms: 4(-2 + 4t) = 3(5 + 1) (-2 * 4 + 4t * 4) = 3(5 + 1) (-8 + 16t) = 3(5 + 1) Combine like terms: 5 + 1 = 6 -8 + 16t = 3(6) Multiply 3 * 6 -8 + 16t = 18 Solving -8 + 16t = 18 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 16t = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 16t = 18 + 8 16t = 18 + 8 Combine like terms: 18 + 8 = 26 16t = 26 Divide each side by '16'. t = 1.625 Simplifying t = 1.625
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