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Simplifying -6 = 4(3t + -9) + -2t Reorder the terms: -6 = 4(-9 + 3t) + -2t -6 = (-9 * 4 + 3t * 4) + -2t -6 = (-36 + 12t) + -2t Combine like terms: 12t + -2t = 10t -6 = -36 + 10t Solving -6 = -36 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -6 + -10t = -36 + 10t + -10t Combine like terms: 10t + -10t = 0 -6 + -10t = -36 + 0 -6 + -10t = -36 Add '6' to each side of the equation. -6 + 6 + -10t = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -10t = -36 + 6 -10t = -36 + 6 Combine like terms: -36 + 6 = -30 -10t = -30 Divide each side by '-10'. t = 3 Simplifying t = 3
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