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Simplifying 4(t + -9) = 14 + -1t Reorder the terms: 4(-9 + t) = 14 + -1t (-9 * 4 + t * 4) = 14 + -1t (-36 + 4t) = 14 + -1t Solving -36 + 4t = 14 + -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. -36 + 4t + t = 14 + -1t + t Combine like terms: 4t + t = 5t -36 + 5t = 14 + -1t + t Combine like terms: -1t + t = 0 -36 + 5t = 14 + 0 -36 + 5t = 14 Add '36' to each side of the equation. -36 + 36 + 5t = 14 + 36 Combine like terms: -36 + 36 = 0 0 + 5t = 14 + 36 5t = 14 + 36 Combine like terms: 14 + 36 = 50 5t = 50 Divide each side by '5'. t = 10 Simplifying t = 10
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