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Simplifying 7t + -14 + -12t + 6 = 30 Reorder the terms: -14 + 6 + 7t + -12t = 30 Combine like terms: -14 + 6 = -8 -8 + 7t + -12t = 30 Combine like terms: 7t + -12t = -5t -8 + -5t = 30 Solving -8 + -5t = 30 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5t = 30 + 8 Combine like terms: -8 + 8 = 0 0 + -5t = 30 + 8 -5t = 30 + 8 Combine like terms: 30 + 8 = 38 -5t = 38 Divide each side by '-5'. t = -7.6 Simplifying t = -7.6
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