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Simplifying -1t + 21 = t + 9 Reorder the terms: 21 + -1t = t + 9 Reorder the terms: 21 + -1t = 9 + t Solving 21 + -1t = 9 + 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. 21 + -1t + -1t = 9 + t + -1t Combine like terms: -1t + -1t = -2t 21 + -2t = 9 + t + -1t Combine like terms: t + -1t = 0 21 + -2t = 9 + 0 21 + -2t = 9 Add '-21' to each side of the equation. 21 + -21 + -2t = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -2t = 9 + -21 -2t = 9 + -21 Combine like terms: 9 + -21 = -12 -2t = -12 Divide each side by '-2'. t = 6 Simplifying t = 6
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