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Simplifying -32t + 14 = 3t + -21 Reorder the terms: 14 + -32t = 3t + -21 Reorder the terms: 14 + -32t = -21 + 3t Solving 14 + -32t = -21 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 14 + -32t + -3t = -21 + 3t + -3t Combine like terms: -32t + -3t = -35t 14 + -35t = -21 + 3t + -3t Combine like terms: 3t + -3t = 0 14 + -35t = -21 + 0 14 + -35t = -21 Add '-14' to each side of the equation. 14 + -14 + -35t = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -35t = -21 + -14 -35t = -21 + -14 Combine like terms: -21 + -14 = -35 -35t = -35 Divide each side by '-35'. t = 1 Simplifying t = 1
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