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Simplifying 6t + -42 = 5t Reorder the terms: -42 + 6t = 5t Solving -42 + 6t = 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -42 + 6t + -5t = 5t + -5t Combine like terms: 6t + -5t = 1t -42 + 1t = 5t + -5t Combine like terms: 5t + -5t = 0 -42 + 1t = 0 Add '42' to each side of the equation. -42 + 42 + 1t = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 1t = 0 + 42 1t = 0 + 42 Combine like terms: 0 + 42 = 42 1t = 42 Divide each side by '1'. t = 42 Simplifying t = 42
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