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Simplifying -3(4t + -19) = -16t + -19 Reorder the terms: -3(-19 + 4t) = -16t + -19 (-19 * -3 + 4t * -3) = -16t + -19 (57 + -12t) = -16t + -19 Reorder the terms: 57 + -12t = -19 + -16t Solving 57 + -12t = -19 + -16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16t' to each side of the equation. 57 + -12t + 16t = -19 + -16t + 16t Combine like terms: -12t + 16t = 4t 57 + 4t = -19 + -16t + 16t Combine like terms: -16t + 16t = 0 57 + 4t = -19 + 0 57 + 4t = -19 Add '-57' to each side of the equation. 57 + -57 + 4t = -19 + -57 Combine like terms: 57 + -57 = 0 0 + 4t = -19 + -57 4t = -19 + -57 Combine like terms: -19 + -57 = -76 4t = -76 Divide each side by '4'. t = -19 Simplifying t = -19
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