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Simplifying 6t + 6 = 9t + -36 Reorder the terms: 6 + 6t = 9t + -36 Reorder the terms: 6 + 6t = -36 + 9t Solving 6 + 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. 6 + 6t + -9t = -36 + 9t + -9t Combine like terms: 6t + -9t = -3t 6 + -3t = -36 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -3t = -36 + 0 6 + -3t = -36 Add '-6' to each side of the equation. 6 + -6 + -3t = -36 + -6 Combine like terms: 6 + -6 = 0 0 + -3t = -36 + -6 -3t = -36 + -6 Combine like terms: -36 + -6 = -42 -3t = -42 Divide each side by '-3'. t = 14 Simplifying t = 14
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