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Simplifying 5(t + -3) + 4(t + -3) = 9 Reorder the terms: 5(-3 + t) + 4(t + -3) = 9 (-3 * 5 + t * 5) + 4(t + -3) = 9 (-15 + 5t) + 4(t + -3) = 9 Reorder the terms: -15 + 5t + 4(-3 + t) = 9 -15 + 5t + (-3 * 4 + t * 4) = 9 -15 + 5t + (-12 + 4t) = 9 Reorder the terms: -15 + -12 + 5t + 4t = 9 Combine like terms: -15 + -12 = -27 -27 + 5t + 4t = 9 Combine like terms: 5t + 4t = 9t -27 + 9t = 9 Solving -27 + 9t = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 9t = 9 + 27 Combine like terms: -27 + 27 = 0 0 + 9t = 9 + 27 9t = 9 + 27 Combine like terms: 9 + 27 = 36 9t = 36 Divide each side by '9'. t = 4 Simplifying t = 4
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