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Simplifying -2(t + -4) = 10 + 2t Reorder the terms: -2(-4 + t) = 10 + 2t (-4 * -2 + t * -2) = 10 + 2t (8 + -2t) = 10 + 2t Solving 8 + -2t = 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. 8 + -2t + -2t = 10 + 2t + -2t Combine like terms: -2t + -2t = -4t 8 + -4t = 10 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + -4t = 10 + 0 8 + -4t = 10 Add '-8' to each side of the equation. 8 + -8 + -4t = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = 10 + -8 -4t = 10 + -8 Combine like terms: 10 + -8 = 2 -4t = 2 Divide each side by '-4'. t = -0.5 Simplifying t = -0.5
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