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Simplifying -5(t + -4) + 2(5t + 5) = 4(t + 7) + 5 Reorder the terms: -5(-4 + t) + 2(5t + 5) = 4(t + 7) + 5 (-4 * -5 + t * -5) + 2(5t + 5) = 4(t + 7) + 5 (20 + -5t) + 2(5t + 5) = 4(t + 7) + 5 Reorder the terms: 20 + -5t + 2(5 + 5t) = 4(t + 7) + 5 20 + -5t + (5 * 2 + 5t * 2) = 4(t + 7) + 5 20 + -5t + (10 + 10t) = 4(t + 7) + 5 Reorder the terms: 20 + 10 + -5t + 10t = 4(t + 7) + 5 Combine like terms: 20 + 10 = 30 30 + -5t + 10t = 4(t + 7) + 5 Combine like terms: -5t + 10t = 5t 30 + 5t = 4(t + 7) + 5 Reorder the terms: 30 + 5t = 4(7 + t) + 5 30 + 5t = (7 * 4 + t * 4) + 5 30 + 5t = (28 + 4t) + 5 Reorder the terms: 30 + 5t = 28 + 5 + 4t Combine like terms: 28 + 5 = 33 30 + 5t = 33 + 4t Solving 30 + 5t = 33 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 30 + 5t + -4t = 33 + 4t + -4t Combine like terms: 5t + -4t = 1t 30 + 1t = 33 + 4t + -4t Combine like terms: 4t + -4t = 0 30 + 1t = 33 + 0 30 + 1t = 33 Add '-30' to each side of the equation. 30 + -30 + 1t = 33 + -30 Combine like terms: 30 + -30 = 0 0 + 1t = 33 + -30 1t = 33 + -30 Combine like terms: 33 + -30 = 3 1t = 3 Divide each side by '1'. t = 3 Simplifying t = 3
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