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Simplifying 7t + -3(1 + t) = -19 7t + (1 * -3 + t * -3) = -19 7t + (-3 + -3t) = -19 Reorder the terms: -3 + 7t + -3t = -19 Combine like terms: 7t + -3t = 4t -3 + 4t = -19 Solving -3 + 4t = -19 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4t = -19 + 3 Combine like terms: -3 + 3 = 0 0 + 4t = -19 + 3 4t = -19 + 3 Combine like terms: -19 + 3 = -16 4t = -16 Divide each side by '4'. t = -4 Simplifying t = -4
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