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Simplifying -6.3(2t + 4) + -1.2(3t + -5) = 0 Reorder the terms: -6.3(4 + 2t) + -1.2(3t + -5) = 0 (4 * -6.3 + 2t * -6.3) + -1.2(3t + -5) = 0 (-25.2 + -12.6t) + -1.2(3t + -5) = 0 Reorder the terms: -25.2 + -12.6t + -1.2(-5 + 3t) = 0 -25.2 + -12.6t + (-5 * -1.2 + 3t * -1.2) = 0 -25.2 + -12.6t + (6 + -3.6t) = 0 Reorder the terms: -25.2 + 6 + -12.6t + -3.6t = 0 Combine like terms: -25.2 + 6 = -19.2 -19.2 + -12.6t + -3.6t = 0 Combine like terms: -12.6t + -3.6t = -16.2t -19.2 + -16.2t = 0 Solving -19.2 + -16.2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '19.2' to each side of the equation. -19.2 + 19.2 + -16.2t = 0 + 19.2 Combine like terms: -19.2 + 19.2 = 0.0 0.0 + -16.2t = 0 + 19.2 -16.2t = 0 + 19.2 Combine like terms: 0 + 19.2 = 19.2 -16.2t = 19.2 Divide each side by '-16.2'. t = -1.185185185 Simplifying t = -1.185185185
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