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Simplifying (4t + 16) + (5t + -21) = 90 Reorder the terms: (16 + 4t) + (5t + -21) = 90 Remove parenthesis around (16 + 4t) 16 + 4t + (5t + -21) = 90 Reorder the terms: 16 + 4t + (-21 + 5t) = 90 Remove parenthesis around (-21 + 5t) 16 + 4t + -21 + 5t = 90 Reorder the terms: 16 + -21 + 4t + 5t = 90 Combine like terms: 16 + -21 = -5 -5 + 4t + 5t = 90 Combine like terms: 4t + 5t = 9t -5 + 9t = 90 Solving -5 + 9t = 90 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 9t = 90 + 5 Combine like terms: -5 + 5 = 0 0 + 9t = 90 + 5 9t = 90 + 5 Combine like terms: 90 + 5 = 95 9t = 95 Divide each side by '9'. t = 10.55555556 Simplifying t = 10.55555556
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