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Simplifying 7t + -5(3t + 1) = 19 Reorder the terms: 7t + -5(1 + 3t) = 19 7t + (1 * -5 + 3t * -5) = 19 7t + (-5 + -15t) = 19 Reorder the terms: -5 + 7t + -15t = 19 Combine like terms: 7t + -15t = -8t -5 + -8t = 19 Solving -5 + -8t = 19 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8t = 19 + 5 Combine like terms: -5 + 5 = 0 0 + -8t = 19 + 5 -8t = 19 + 5 Combine like terms: 19 + 5 = 24 -8t = 24 Divide each side by '-8'. t = -3 Simplifying t = -3
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