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Simplifying 5 + 4(t + -2) = 2(t + 7) + 1 Reorder the terms: 5 + 4(-2 + t) = 2(t + 7) + 1 5 + (-2 * 4 + t * 4) = 2(t + 7) + 1 5 + (-8 + 4t) = 2(t + 7) + 1 Combine like terms: 5 + -8 = -3 -3 + 4t = 2(t + 7) + 1 Reorder the terms: -3 + 4t = 2(7 + t) + 1 -3 + 4t = (7 * 2 + t * 2) + 1 -3 + 4t = (14 + 2t) + 1 Reorder the terms: -3 + 4t = 14 + 1 + 2t Combine like terms: 14 + 1 = 15 -3 + 4t = 15 + 2t Solving -3 + 4t = 15 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -3 + 4t + -2t = 15 + 2t + -2t Combine like terms: 4t + -2t = 2t -3 + 2t = 15 + 2t + -2t Combine like terms: 2t + -2t = 0 -3 + 2t = 15 + 0 -3 + 2t = 15 Add '3' to each side of the equation. -3 + 3 + 2t = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 2t = 15 + 3 2t = 15 + 3 Combine like terms: 15 + 3 = 18 2t = 18 Divide each side by '2'. t = 9 Simplifying t = 9
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