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Simplifying 48 + 4t + 282 = t Reorder the terms: 48 + 282 + 4t = t Combine like terms: 48 + 282 = 330 330 + 4t = t Solving 330 + 4t = 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. 330 + 4t + -1t = t + -1t Combine like terms: 4t + -1t = 3t 330 + 3t = t + -1t Combine like terms: t + -1t = 0 330 + 3t = 0 Add '-330' to each side of the equation. 330 + -330 + 3t = 0 + -330 Combine like terms: 330 + -330 = 0 0 + 3t = 0 + -330 3t = 0 + -330 Combine like terms: 0 + -330 = -330 3t = -330 Divide each side by '3'. t = -110 Simplifying t = -110
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