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Simplifying 10 + -1t + 6t = t + 22 Combine like terms: -1t + 6t = 5t 10 + 5t = t + 22 Reorder the terms: 10 + 5t = 22 + t Solving 10 + 5t = 22 + 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. 10 + 5t + -1t = 22 + t + -1t Combine like terms: 5t + -1t = 4t 10 + 4t = 22 + t + -1t Combine like terms: t + -1t = 0 10 + 4t = 22 + 0 10 + 4t = 22 Add '-10' to each side of the equation. 10 + -10 + 4t = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 4t = 22 + -10 4t = 22 + -10 Combine like terms: 22 + -10 = 12 4t = 12 Divide each side by '4'. t = 3 Simplifying t = 3
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