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Simplifying 14t + 42 = 15t + 7 Reorder the terms: 42 + 14t = 15t + 7 Reorder the terms: 42 + 14t = 7 + 15t Solving 42 + 14t = 7 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 42 + 14t + -15t = 7 + 15t + -15t Combine like terms: 14t + -15t = -1t 42 + -1t = 7 + 15t + -15t Combine like terms: 15t + -15t = 0 42 + -1t = 7 + 0 42 + -1t = 7 Add '-42' to each side of the equation. 42 + -42 + -1t = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -1t = 7 + -42 -1t = 7 + -42 Combine like terms: 7 + -42 = -35 -1t = -35 Divide each side by '-1'. t = 35 Simplifying t = 35
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