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Simplifying -11 + -4(2t + -2) = 10t + 24 Reorder the terms: -11 + -4(-2 + 2t) = 10t + 24 -11 + (-2 * -4 + 2t * -4) = 10t + 24 -11 + (8 + -8t) = 10t + 24 Combine like terms: -11 + 8 = -3 -3 + -8t = 10t + 24 Reorder the terms: -3 + -8t = 24 + 10t Solving -3 + -8t = 24 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -3 + -8t + -10t = 24 + 10t + -10t Combine like terms: -8t + -10t = -18t -3 + -18t = 24 + 10t + -10t Combine like terms: 10t + -10t = 0 -3 + -18t = 24 + 0 -3 + -18t = 24 Add '3' to each side of the equation. -3 + 3 + -18t = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -18t = 24 + 3 -18t = 24 + 3 Combine like terms: 24 + 3 = 27 -18t = 27 Divide each side by '-18'. t = -1.5 Simplifying t = -1.5
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