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Simplifying 3t + -9 = -51 + 9t Reorder the terms: -9 + 3t = -51 + 9t Solving -9 + 3t = -51 + 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. -9 + 3t + -9t = -51 + 9t + -9t Combine like terms: 3t + -9t = -6t -9 + -6t = -51 + 9t + -9t Combine like terms: 9t + -9t = 0 -9 + -6t = -51 + 0 -9 + -6t = -51 Add '9' to each side of the equation. -9 + 9 + -6t = -51 + 9 Combine like terms: -9 + 9 = 0 0 + -6t = -51 + 9 -6t = -51 + 9 Combine like terms: -51 + 9 = -42 -6t = -42 Divide each side by '-6'. t = 7 Simplifying t = 7
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