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Simplifying 9(t + -6) + -4(3 + t) = 0 Reorder the terms: 9(-6 + t) + -4(3 + t) = 0 (-6 * 9 + t * 9) + -4(3 + t) = 0 (-54 + 9t) + -4(3 + t) = 0 -54 + 9t + (3 * -4 + t * -4) = 0 -54 + 9t + (-12 + -4t) = 0 Reorder the terms: -54 + -12 + 9t + -4t = 0 Combine like terms: -54 + -12 = -66 -66 + 9t + -4t = 0 Combine like terms: 9t + -4t = 5t -66 + 5t = 0 Solving -66 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 5t = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 5t = 0 + 66 5t = 0 + 66 Combine like terms: 0 + 66 = 66 5t = 66 Divide each side by '5'. t = 13.2 Simplifying t = 13.2
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