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Simplifying 2(2t + -4) + 1 = 16 + -1t Reorder the terms: 2(-4 + 2t) + 1 = 16 + -1t (-4 * 2 + 2t * 2) + 1 = 16 + -1t (-8 + 4t) + 1 = 16 + -1t Reorder the terms: -8 + 1 + 4t = 16 + -1t Combine like terms: -8 + 1 = -7 -7 + 4t = 16 + -1t Solving -7 + 4t = 16 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -7 + 4t + t = 16 + -1t + t Combine like terms: 4t + t = 5t -7 + 5t = 16 + -1t + t Combine like terms: -1t + t = 0 -7 + 5t = 16 + 0 -7 + 5t = 16 Add '7' to each side of the equation. -7 + 7 + 5t = 16 + 7 Combine like terms: -7 + 7 = 0 0 + 5t = 16 + 7 5t = 16 + 7 Combine like terms: 16 + 7 = 23 5t = 23 Divide each side by '5'. t = 4.6 Simplifying t = 4.6
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