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Simplifying 9(t + -4) + -2 + 5(t + -2) = 0 Reorder the terms: 9(-4 + t) + -2 + 5(t + -2) = 0 (-4 * 9 + t * 9) + -2 + 5(t + -2) = 0 (-36 + 9t) + -2 + 5(t + -2) = 0 Reorder the terms: -36 + 9t + -2 + 5(-2 + t) = 0 -36 + 9t + -2 + (-2 * 5 + t * 5) = 0 -36 + 9t + -2 + (-10 + 5t) = 0 Reorder the terms: -36 + -2 + -10 + 9t + 5t = 0 Combine like terms: -36 + -2 = -38 -38 + -10 + 9t + 5t = 0 Combine like terms: -38 + -10 = -48 -48 + 9t + 5t = 0 Combine like terms: 9t + 5t = 14t -48 + 14t = 0 Solving -48 + 14t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 14t = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 14t = 0 + 48 14t = 0 + 48 Combine like terms: 0 + 48 = 48 14t = 48 Divide each side by '14'. t = 3.428571429 Simplifying t = 3.428571429
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