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Simplifying -6.7(4t + 6) + -2.2(3t + -5) = 0 Reorder the terms: -6.7(6 + 4t) + -2.2(3t + -5) = 0 (6 * -6.7 + 4t * -6.7) + -2.2(3t + -5) = 0 (-40.2 + -26.8t) + -2.2(3t + -5) = 0 Reorder the terms: -40.2 + -26.8t + -2.2(-5 + 3t) = 0 -40.2 + -26.8t + (-5 * -2.2 + 3t * -2.2) = 0 -40.2 + -26.8t + (11 + -6.6t) = 0 Reorder the terms: -40.2 + 11 + -26.8t + -6.6t = 0 Combine like terms: -40.2 + 11 = -29.2 -29.2 + -26.8t + -6.6t = 0 Combine like terms: -26.8t + -6.6t = -33.4t -29.2 + -33.4t = 0 Solving -29.2 + -33.4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '29.2' to each side of the equation. -29.2 + 29.2 + -33.4t = 0 + 29.2 Combine like terms: -29.2 + 29.2 = 0.0 0.0 + -33.4t = 0 + 29.2 -33.4t = 0 + 29.2 Combine like terms: 0 + 29.2 = 29.2 -33.4t = 29.2 Divide each side by '-33.4'. t = -0.874251497 Simplifying t = -0.874251497
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