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Simplifying 5(10 + t) = 6(10 + t) (10 * 5 + t * 5) = 6(10 + t) (50 + 5t) = 6(10 + t) 50 + 5t = (10 * 6 + t * 6) 50 + 5t = (60 + 6t) Solving 50 + 5t = 60 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 50 + 5t + -6t = 60 + 6t + -6t Combine like terms: 5t + -6t = -1t 50 + -1t = 60 + 6t + -6t Combine like terms: 6t + -6t = 0 50 + -1t = 60 + 0 50 + -1t = 60 Add '-50' to each side of the equation. 50 + -50 + -1t = 60 + -50 Combine like terms: 50 + -50 = 0 0 + -1t = 60 + -50 -1t = 60 + -50 Combine like terms: 60 + -50 = 10 -1t = 10 Divide each side by '-1'. t = -10 Simplifying t = -10
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