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Simplifying 6t + 15 = 9t + -6 Reorder the terms: 15 + 6t = 9t + -6 Reorder the terms: 15 + 6t = -6 + 9t Solving 15 + 6t = -6 + 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. 15 + 6t + -9t = -6 + 9t + -9t Combine like terms: 6t + -9t = -3t 15 + -3t = -6 + 9t + -9t Combine like terms: 9t + -9t = 0 15 + -3t = -6 + 0 15 + -3t = -6 Add '-15' to each side of the equation. 15 + -15 + -3t = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3t = -6 + -15 -3t = -6 + -15 Combine like terms: -6 + -15 = -21 -3t = -21 Divide each side by '-3'. t = 7 Simplifying t = 7
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