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Simplifying 6t + 42 = 9t + 36 Reorder the terms: 42 + 6t = 9t + 36 Reorder the terms: 42 + 6t = 36 + 9t Solving 42 + 6t = 36 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 42 + 6t + -9t = 36 + 9t + -9t Combine like terms: 6t + -9t = -3t 42 + -3t = 36 + 9t + -9t Combine like terms: 9t + -9t = 0 42 + -3t = 36 + 0 42 + -3t = 36 Add '-42' to each side of the equation. 42 + -42 + -3t = 36 + -42 Combine like terms: 42 + -42 = 0 0 + -3t = 36 + -42 -3t = 36 + -42 Combine like terms: 36 + -42 = -6 -3t = -6 Divide each side by '-3'. t = 2 Simplifying t = 2
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