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Simplifying 2 + 9(t + -8) = 5(t + 1) + 5 Reorder the terms: 2 + 9(-8 + t) = 5(t + 1) + 5 2 + (-8 * 9 + t * 9) = 5(t + 1) + 5 2 + (-72 + 9t) = 5(t + 1) + 5 Combine like terms: 2 + -72 = -70 -70 + 9t = 5(t + 1) + 5 Reorder the terms: -70 + 9t = 5(1 + t) + 5 -70 + 9t = (1 * 5 + t * 5) + 5 -70 + 9t = (5 + 5t) + 5 Reorder the terms: -70 + 9t = 5 + 5 + 5t Combine like terms: 5 + 5 = 10 -70 + 9t = 10 + 5t Solving -70 + 9t = 10 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -70 + 9t + -5t = 10 + 5t + -5t Combine like terms: 9t + -5t = 4t -70 + 4t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 -70 + 4t = 10 + 0 -70 + 4t = 10 Add '70' to each side of the equation. -70 + 70 + 4t = 10 + 70 Combine like terms: -70 + 70 = 0 0 + 4t = 10 + 70 4t = 10 + 70 Combine like terms: 10 + 70 = 80 4t = 80 Divide each side by '4'. t = 20 Simplifying t = 20
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