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Simplifying -2 + -1(t + -4) = 10 + -2t Reorder the terms: -2 + -1(-4 + t) = 10 + -2t -2 + (-4 * -1 + t * -1) = 10 + -2t -2 + (4 + -1t) = 10 + -2t Combine like terms: -2 + 4 = 2 2 + -1t = 10 + -2t Solving 2 + -1t = 10 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 2 + -1t + 2t = 10 + -2t + 2t Combine like terms: -1t + 2t = 1t 2 + 1t = 10 + -2t + 2t Combine like terms: -2t + 2t = 0 2 + 1t = 10 + 0 2 + 1t = 10 Add '-2' to each side of the equation. 2 + -2 + 1t = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 10 + -2 1t = 10 + -2 Combine like terms: 10 + -2 = 8 1t = 8 Divide each side by '1'. t = 8 Simplifying t = 8
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