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Simplifying -5t + 2 + t + -12 = 0 Reorder the terms: 2 + -12 + -5t + t = 0 Combine like terms: 2 + -12 = -10 -10 + -5t + t = 0 Combine like terms: -5t + t = -4t -10 + -4t = 0 Solving -10 + -4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -4t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4t = 0 + 10 -4t = 0 + 10 Combine like terms: 0 + 10 = 10 -4t = 10 Divide each side by '-4'. t = -2.5 Simplifying t = -2.5
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