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Simplifying 7t + -5 = 2(3t + 2) Reorder the terms: -5 + 7t = 2(3t + 2) Reorder the terms: -5 + 7t = 2(2 + 3t) -5 + 7t = (2 * 2 + 3t * 2) -5 + 7t = (4 + 6t) Solving -5 + 7t = 4 + 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. -5 + 7t + -6t = 4 + 6t + -6t Combine like terms: 7t + -6t = 1t -5 + 1t = 4 + 6t + -6t Combine like terms: 6t + -6t = 0 -5 + 1t = 4 + 0 -5 + 1t = 4 Add '5' to each side of the equation. -5 + 5 + 1t = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 1t = 4 + 5 1t = 4 + 5 Combine like terms: 4 + 5 = 9 1t = 9 Divide each side by '1'. t = 9 Simplifying t = 9
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