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Simplifying 78 + 56t = 62t + 18 Reorder the terms: 78 + 56t = 18 + 62t Solving 78 + 56t = 18 + 62t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-62t' to each side of the equation. 78 + 56t + -62t = 18 + 62t + -62t Combine like terms: 56t + -62t = -6t 78 + -6t = 18 + 62t + -62t Combine like terms: 62t + -62t = 0 78 + -6t = 18 + 0 78 + -6t = 18 Add '-78' to each side of the equation. 78 + -78 + -6t = 18 + -78 Combine like terms: 78 + -78 = 0 0 + -6t = 18 + -78 -6t = 18 + -78 Combine like terms: 18 + -78 = -60 -6t = -60 Divide each side by '-6'. t = 10 Simplifying t = 10
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