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Simplifying 6t + 30 = 15t + -51 Reorder the terms: 30 + 6t = 15t + -51 Reorder the terms: 30 + 6t = -51 + 15t Solving 30 + 6t = -51 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 30 + 6t + -15t = -51 + 15t + -15t Combine like terms: 6t + -15t = -9t 30 + -9t = -51 + 15t + -15t Combine like terms: 15t + -15t = 0 30 + -9t = -51 + 0 30 + -9t = -51 Add '-30' to each side of the equation. 30 + -30 + -9t = -51 + -30 Combine like terms: 30 + -30 = 0 0 + -9t = -51 + -30 -9t = -51 + -30 Combine like terms: -51 + -30 = -81 -9t = -81 Divide each side by '-9'. t = 9 Simplifying t = 9
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