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Simplifying 4(t + -2) + -2t = -3 + 9 Reorder the terms: 4(-2 + t) + -2t = -3 + 9 (-2 * 4 + t * 4) + -2t = -3 + 9 (-8 + 4t) + -2t = -3 + 9 Combine like terms: 4t + -2t = 2t -8 + 2t = -3 + 9 Combine like terms: -3 + 9 = 6 -8 + 2t = 6 Solving -8 + 2t = 6 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 + 2t = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2t = 6 + 8 2t = 6 + 8 Combine like terms: 6 + 8 = 14 2t = 14 Divide each side by '2'. t = 7 Simplifying t = 7
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