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Simplifying 5(2t + 4) + -4 = 19 + 7t Reorder the terms: 5(4 + 2t) + -4 = 19 + 7t (4 * 5 + 2t * 5) + -4 = 19 + 7t (20 + 10t) + -4 = 19 + 7t Reorder the terms: 20 + -4 + 10t = 19 + 7t Combine like terms: 20 + -4 = 16 16 + 10t = 19 + 7t Solving 16 + 10t = 19 + 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. 16 + 10t + -7t = 19 + 7t + -7t Combine like terms: 10t + -7t = 3t 16 + 3t = 19 + 7t + -7t Combine like terms: 7t + -7t = 0 16 + 3t = 19 + 0 16 + 3t = 19 Add '-16' to each side of the equation. 16 + -16 + 3t = 19 + -16 Combine like terms: 16 + -16 = 0 0 + 3t = 19 + -16 3t = 19 + -16 Combine like terms: 19 + -16 = 3 3t = 3 Divide each side by '3'. t = 1 Simplifying t = 1
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