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Simplifying 7(t + 4) + -3(1 + t) = (-19) Reorder the terms: 7(4 + t) + -3(1 + t) = (-19) (4 * 7 + t * 7) + -3(1 + t) = (-19) (28 + 7t) + -3(1 + t) = (-19) 28 + 7t + (1 * -3 + t * -3) = (-19) 28 + 7t + (-3 + -3t) = (-19) Reorder the terms: 28 + -3 + 7t + -3t = (-19) Combine like terms: 28 + -3 = 25 25 + 7t + -3t = (-19) Combine like terms: 7t + -3t = 4t 25 + 4t = (-19) 25 + 4t = -19 Solving 25 + 4t = -19 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4t = -19 + -25 Combine like terms: 25 + -25 = 0 0 + 4t = -19 + -25 4t = -19 + -25 Combine like terms: -19 + -25 = -44 4t = -44 Divide each side by '4'. t = -11 Simplifying t = -11
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