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Simplifying 7(t + 4) + -3(1 + 17) = -19 Reorder the terms: 7(4 + t) + -3(1 + 17) = -19 (4 * 7 + t * 7) + -3(1 + 17) = -19 (28 + 7t) + -3(1 + 17) = -19 Combine like terms: 1 + 17 = 18 28 + 7t + -3(18) = -19 Multiply -3 * 18 28 + 7t + -54 = -19 Reorder the terms: 28 + -54 + 7t = -19 Combine like terms: 28 + -54 = -26 -26 + 7t = -19 Solving -26 + 7t = -19 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 7t = -19 + 26 Combine like terms: -26 + 26 = 0 0 + 7t = -19 + 26 7t = -19 + 26 Combine like terms: -19 + 26 = 7 7t = 7 Divide each side by '7'. t = 1 Simplifying t = 1
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