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Simplifying t + 282 = 4t + 48 Reorder the terms: 282 + t = 4t + 48 Reorder the terms: 282 + t = 48 + 4t Solving 282 + t = 48 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 282 + t + -4t = 48 + 4t + -4t Combine like terms: t + -4t = -3t 282 + -3t = 48 + 4t + -4t Combine like terms: 4t + -4t = 0 282 + -3t = 48 + 0 282 + -3t = 48 Add '-282' to each side of the equation. 282 + -282 + -3t = 48 + -282 Combine like terms: 282 + -282 = 0 0 + -3t = 48 + -282 -3t = 48 + -282 Combine like terms: 48 + -282 = -234 -3t = -234 Divide each side by '-3'. t = 78 Simplifying t = 78
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