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Simplifying 3(t + -2) + -2(t + 4) + -6 = 0 Reorder the terms: 3(-2 + t) + -2(t + 4) + -6 = 0 (-2 * 3 + t * 3) + -2(t + 4) + -6 = 0 (-6 + 3t) + -2(t + 4) + -6 = 0 Reorder the terms: -6 + 3t + -2(4 + t) + -6 = 0 -6 + 3t + (4 * -2 + t * -2) + -6 = 0 -6 + 3t + (-8 + -2t) + -6 = 0 Reorder the terms: -6 + -8 + -6 + 3t + -2t = 0 Combine like terms: -6 + -8 = -14 -14 + -6 + 3t + -2t = 0 Combine like terms: -14 + -6 = -20 -20 + 3t + -2t = 0 Combine like terms: 3t + -2t = 1t -20 + 1t = 0 Solving -20 + 1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1t = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1t = 0 + 20 1t = 0 + 20 Combine like terms: 0 + 20 = 20 1t = 20 Divide each side by '1'. t = 20 Simplifying t = 20
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