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Simplifying 4(4t + -2) = 3(5t + 1) Reorder the terms: 4(-2 + 4t) = 3(5t + 1) (-2 * 4 + 4t * 4) = 3(5t + 1) (-8 + 16t) = 3(5t + 1) Reorder the terms: -8 + 16t = 3(1 + 5t) -8 + 16t = (1 * 3 + 5t * 3) -8 + 16t = (3 + 15t) Solving -8 + 16t = 3 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -8 + 16t + -15t = 3 + 15t + -15t Combine like terms: 16t + -15t = 1t -8 + 1t = 3 + 15t + -15t Combine like terms: 15t + -15t = 0 -8 + 1t = 3 + 0 -8 + 1t = 3 Add '8' to each side of the equation. -8 + 8 + 1t = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 1t = 3 + 8 1t = 3 + 8 Combine like terms: 3 + 8 = 11 1t = 11 Divide each side by '1'. t = 11 Simplifying t = 11
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