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Simplifying 10t + 1 = 2(3t + 5) + -1 Reorder the terms: 1 + 10t = 2(3t + 5) + -1 Reorder the terms: 1 + 10t = 2(5 + 3t) + -1 1 + 10t = (5 * 2 + 3t * 2) + -1 1 + 10t = (10 + 6t) + -1 Reorder the terms: 1 + 10t = 10 + -1 + 6t Combine like terms: 10 + -1 = 9 1 + 10t = 9 + 6t Solving 1 + 10t = 9 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 1 + 10t + -6t = 9 + 6t + -6t Combine like terms: 10t + -6t = 4t 1 + 4t = 9 + 6t + -6t Combine like terms: 6t + -6t = 0 1 + 4t = 9 + 0 1 + 4t = 9 Add '-1' to each side of the equation. 1 + -1 + 4t = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4t = 9 + -1 4t = 9 + -1 Combine like terms: 9 + -1 = 8 4t = 8 Divide each side by '4'. t = 2 Simplifying t = 2
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