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Simplifying 16 + -2(9 + -2t) = 2(t + -2) 16 + (9 * -2 + -2t * -2) = 2(t + -2) 16 + (-18 + 4t) = 2(t + -2) Combine like terms: 16 + -18 = -2 -2 + 4t = 2(t + -2) Reorder the terms: -2 + 4t = 2(-2 + t) -2 + 4t = (-2 * 2 + t * 2) -2 + 4t = (-4 + 2t) Solving -2 + 4t = -4 + 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 + 4t + -2t = -4 + 2t + -2t Combine like terms: 4t + -2t = 2t -2 + 2t = -4 + 2t + -2t Combine like terms: 2t + -2t = 0 -2 + 2t = -4 + 0 -2 + 2t = -4 Add '2' to each side of the equation. -2 + 2 + 2t = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = -4 + 2 2t = -4 + 2 Combine like terms: -4 + 2 = -2 2t = -2 Divide each side by '2'. t = -1 Simplifying t = -1
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