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Simplifying -5.4(4t + 6) + -2.6(2t + -4) = 0 Reorder the terms: -5.4(6 + 4t) + -2.6(2t + -4) = 0 (6 * -5.4 + 4t * -5.4) + -2.6(2t + -4) = 0 (-32.4 + -21.6t) + -2.6(2t + -4) = 0 Reorder the terms: -32.4 + -21.6t + -2.6(-4 + 2t) = 0 -32.4 + -21.6t + (-4 * -2.6 + 2t * -2.6) = 0 -32.4 + -21.6t + (10.4 + -5.2t) = 0 Reorder the terms: -32.4 + 10.4 + -21.6t + -5.2t = 0 Combine like terms: -32.4 + 10.4 = -22 -22 + -21.6t + -5.2t = 0 Combine like terms: -21.6t + -5.2t = -26.8t -22 + -26.8t = 0 Solving -22 + -26.8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -26.8t = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -26.8t = 0 + 22 -26.8t = 0 + 22 Combine like terms: 0 + 22 = 22 -26.8t = 22 Divide each side by '-26.8'. t = -0.8208955224 Simplifying t = -0.8208955224
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