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Simplifying -2(t + 2) + 5 = 6t + 11 Reorder the terms: -2(2 + t) + 5 = 6t + 11 (2 * -2 + t * -2) + 5 = 6t + 11 (-4 + -2t) + 5 = 6t + 11 Reorder the terms: -4 + 5 + -2t = 6t + 11 Combine like terms: -4 + 5 = 1 1 + -2t = 6t + 11 Reorder the terms: 1 + -2t = 11 + 6t Solving 1 + -2t = 11 + 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 + -2t + -6t = 11 + 6t + -6t Combine like terms: -2t + -6t = -8t 1 + -8t = 11 + 6t + -6t Combine like terms: 6t + -6t = 0 1 + -8t = 11 + 0 1 + -8t = 11 Add '-1' to each side of the equation. 1 + -1 + -8t = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -8t = 11 + -1 -8t = 11 + -1 Combine like terms: 11 + -1 = 10 -8t = 10 Divide each side by '-8'. t = -1.25 Simplifying t = -1.25
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