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Simplifying 2(2t + -4) + t = 16 + t Reorder the terms: 2(-4 + 2t) + t = 16 + t (-4 * 2 + 2t * 2) + t = 16 + t (-8 + 4t) + t = 16 + t Combine like terms: 4t + t = 5t -8 + 5t = 16 + t Solving -8 + 5t = 16 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -8 + 5t + -1t = 16 + t + -1t Combine like terms: 5t + -1t = 4t -8 + 4t = 16 + t + -1t Combine like terms: t + -1t = 0 -8 + 4t = 16 + 0 -8 + 4t = 16 Add '8' to each side of the equation. -8 + 8 + 4t = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 4t = 16 + 8 4t = 16 + 8 Combine like terms: 16 + 8 = 24 4t = 24 Divide each side by '4'. t = 6 Simplifying t = 6
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