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Simplifying 2t + -4(2 + -1t) = t + 7 2t + (2 * -4 + -1t * -4) = t + 7 2t + (-8 + 4t) = t + 7 Reorder the terms: -8 + 2t + 4t = t + 7 Combine like terms: 2t + 4t = 6t -8 + 6t = t + 7 Reorder the terms: -8 + 6t = 7 + t Solving -8 + 6t = 7 + 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 + 6t + -1t = 7 + t + -1t Combine like terms: 6t + -1t = 5t -8 + 5t = 7 + t + -1t Combine like terms: t + -1t = 0 -8 + 5t = 7 + 0 -8 + 5t = 7 Add '8' to each side of the equation. -8 + 8 + 5t = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5t = 7 + 8 5t = 7 + 8 Combine like terms: 7 + 8 = 15 5t = 15 Divide each side by '5'. t = 3 Simplifying t = 3
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