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Simplifying 2(-4t + -9) + 3t = 43 Reorder the terms: 2(-9 + -4t) + 3t = 43 (-9 * 2 + -4t * 2) + 3t = 43 (-18 + -8t) + 3t = 43 Combine like terms: -8t + 3t = -5t -18 + -5t = 43 Solving -18 + -5t = 43 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5t = 43 + 18 Combine like terms: -18 + 18 = 0 0 + -5t = 43 + 18 -5t = 43 + 18 Combine like terms: 43 + 18 = 61 -5t = 61 Divide each side by '-5'. t = -12.2 Simplifying t = -12.2
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