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Simplifying -6.3(2t + 5) + -1.1(4t + -6) = 0 Reorder the terms: -6.3(5 + 2t) + -1.1(4t + -6) = 0 (5 * -6.3 + 2t * -6.3) + -1.1(4t + -6) = 0 (-31.5 + -12.6t) + -1.1(4t + -6) = 0 Reorder the terms: -31.5 + -12.6t + -1.1(-6 + 4t) = 0 -31.5 + -12.6t + (-6 * -1.1 + 4t * -1.1) = 0 -31.5 + -12.6t + (6.6 + -4.4t) = 0 Reorder the terms: -31.5 + 6.6 + -12.6t + -4.4t = 0 Combine like terms: -31.5 + 6.6 = -24.9 -24.9 + -12.6t + -4.4t = 0 Combine like terms: -12.6t + -4.4t = -17t -24.9 + -17t = 0 Solving -24.9 + -17t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24.9' to each side of the equation. -24.9 + 24.9 + -17t = 0 + 24.9 Combine like terms: -24.9 + 24.9 = 0.0 0.0 + -17t = 0 + 24.9 -17t = 0 + 24.9 Combine like terms: 0 + 24.9 = 24.9 -17t = 24.9 Divide each side by '-17'. t = -1.464705882 Simplifying t = -1.464705882
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