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Simplifying 5(t + -1) = 23 + t Reorder the terms: 5(-1 + t) = 23 + t (-1 * 5 + t * 5) = 23 + t (-5 + 5t) = 23 + t Solving -5 + 5t = 23 + 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. -5 + 5t + -1t = 23 + t + -1t Combine like terms: 5t + -1t = 4t -5 + 4t = 23 + t + -1t Combine like terms: t + -1t = 0 -5 + 4t = 23 + 0 -5 + 4t = 23 Add '5' to each side of the equation. -5 + 5 + 4t = 23 + 5 Combine like terms: -5 + 5 = 0 0 + 4t = 23 + 5 4t = 23 + 5 Combine like terms: 23 + 5 = 28 4t = 28 Divide each side by '4'. t = 7 Simplifying t = 7
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