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Simplifying -4(t + -2) + -1(t + 2) = 11 Reorder the terms: -4(-2 + t) + -1(t + 2) = 11 (-2 * -4 + t * -4) + -1(t + 2) = 11 (8 + -4t) + -1(t + 2) = 11 Reorder the terms: 8 + -4t + -1(2 + t) = 11 8 + -4t + (2 * -1 + t * -1) = 11 8 + -4t + (-2 + -1t) = 11 Reorder the terms: 8 + -2 + -4t + -1t = 11 Combine like terms: 8 + -2 = 6 6 + -4t + -1t = 11 Combine like terms: -4t + -1t = -5t 6 + -5t = 11 Solving 6 + -5t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5t = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = 11 + -6 -5t = 11 + -6 Combine like terms: 11 + -6 = 5 -5t = 5 Divide each side by '-5'. t = -1 Simplifying t = -1
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