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Simplifying 2.5(t + -12) + -6 = 9 Reorder the terms: 2.5(-12 + t) + -6 = 9 (-12 * 2.5 + t * 2.5) + -6 = 9 (-30 + 2.5t) + -6 = 9 Reorder the terms: -30 + -6 + 2.5t = 9 Combine like terms: -30 + -6 = -36 -36 + 2.5t = 9 Solving -36 + 2.5t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 2.5t = 9 + 36 Combine like terms: -36 + 36 = 0 0 + 2.5t = 9 + 36 2.5t = 9 + 36 Combine like terms: 9 + 36 = 45 2.5t = 45 Divide each side by '2.5'. t = 18 Simplifying t = 18
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