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Simplifying 4(t + -1) = 17 + t Reorder the terms: 4(-1 + t) = 17 + t (-1 * 4 + t * 4) = 17 + t (-4 + 4t) = 17 + t Solving -4 + 4t = 17 + 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. -4 + 4t + -1t = 17 + t + -1t Combine like terms: 4t + -1t = 3t -4 + 3t = 17 + t + -1t Combine like terms: t + -1t = 0 -4 + 3t = 17 + 0 -4 + 3t = 17 Add '4' to each side of the equation. -4 + 4 + 3t = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 3t = 17 + 4 3t = 17 + 4 Combine like terms: 17 + 4 = 21 3t = 21 Divide each side by '3'. t = 7 Simplifying t = 7
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