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