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Simplifying -5.3(2t + 5) + -1.1(4t + -6) = 0 Reorder the terms: -5.3(5 + 2t) + -1.1(4t + -6) = 0 (5 * -5.3 + 2t * -5.3) + -1.1(4t + -6) = 0 (-26.5 + -10.6t) + -1.1(4t + -6) = 0 Reorder the terms: -26.5 + -10.6t + -1.1(-6 + 4t) = 0 -26.5 + -10.6t + (-6 * -1.1 + 4t * -1.1) = 0 -26.5 + -10.6t + (6.6 + -4.4t) = 0 Reorder the terms: -26.5 + 6.6 + -10.6t + -4.4t = 0 Combine like terms: -26.5 + 6.6 = -19.9 -19.9 + -10.6t + -4.4t = 0 Combine like terms: -10.6t + -4.4t = -15t -19.9 + -15t = 0 Solving -19.9 + -15t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '19.9' to each side of the equation. -19.9 + 19.9 + -15t = 0 + 19.9 Combine like terms: -19.9 + 19.9 = 0.0 0.0 + -15t = 0 + 19.9 -15t = 0 + 19.9 Combine like terms: 0 + 19.9 = 19.9 -15t = 19.9 Divide each side by '-15'. t = -1.326666667 Simplifying t = -1.326666667
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