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Simplifying 3 + -2(2t + -8) = -21 Reorder the terms: 3 + -2(-8 + 2t) = -21 3 + (-8 * -2 + 2t * -2) = -21 3 + (16 + -4t) = -21 Combine like terms: 3 + 16 = 19 19 + -4t = -21 Solving 19 + -4t = -21 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4t = -21 + -19 Combine like terms: 19 + -19 = 0 0 + -4t = -21 + -19 -4t = -21 + -19 Combine like terms: -21 + -19 = -40 -4t = -40 Divide each side by '-4'. t = 10 Simplifying t = 10
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