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Simplifying -2(t + 2) = 6t + 11 Reorder the terms: -2(2 + t) = 6t + 11 (2 * -2 + t * -2) = 6t + 11 (-4 + -2t) = 6t + 11 Reorder the terms: -4 + -2t = 11 + 6t Solving -4 + -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. -4 + -2t + -6t = 11 + 6t + -6t Combine like terms: -2t + -6t = -8t -4 + -8t = 11 + 6t + -6t Combine like terms: 6t + -6t = 0 -4 + -8t = 11 + 0 -4 + -8t = 11 Add '4' to each side of the equation. -4 + 4 + -8t = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -8t = 11 + 4 -8t = 11 + 4 Combine like terms: 11 + 4 = 15 -8t = 15 Divide each side by '-8'. t = -1.875 Simplifying t = -1.875
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