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Simplifying -4(t + -2) + 6(t + -4) = 0 Reorder the terms: -4(-2 + t) + 6(t + -4) = 0 (-2 * -4 + t * -4) + 6(t + -4) = 0 (8 + -4t) + 6(t + -4) = 0 Reorder the terms: 8 + -4t + 6(-4 + t) = 0 8 + -4t + (-4 * 6 + t * 6) = 0 8 + -4t + (-24 + 6t) = 0 Reorder the terms: 8 + -24 + -4t + 6t = 0 Combine like terms: 8 + -24 = -16 -16 + -4t + 6t = 0 Combine like terms: -4t + 6t = 2t -16 + 2t = 0 Solving -16 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2t = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2t = 0 + 16 2t = 0 + 16 Combine like terms: 0 + 16 = 16 2t = 16 Divide each side by '2'. t = 8 Simplifying t = 8
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