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Simplifying 5(t + 4) = 9 + 10t Reorder the terms: 5(4 + t) = 9 + 10t (4 * 5 + t * 5) = 9 + 10t (20 + 5t) = 9 + 10t Solving 20 + 5t = 9 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 20 + 5t + -10t = 9 + 10t + -10t Combine like terms: 5t + -10t = -5t 20 + -5t = 9 + 10t + -10t Combine like terms: 10t + -10t = 0 20 + -5t = 9 + 0 20 + -5t = 9 Add '-20' to each side of the equation. 20 + -20 + -5t = 9 + -20 Combine like terms: 20 + -20 = 0 0 + -5t = 9 + -20 -5t = 9 + -20 Combine like terms: 9 + -20 = -11 -5t = -11 Divide each side by '-5'. t = 2.2 Simplifying t = 2.2
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