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Simplifying 8(t + -2) + 4t = (3t + 5) + -11 Reorder the terms: 8(-2 + t) + 4t = (3t + 5) + -11 (-2 * 8 + t * 8) + 4t = (3t + 5) + -11 (-16 + 8t) + 4t = (3t + 5) + -11 Combine like terms: 8t + 4t = 12t -16 + 12t = (3t + 5) + -11 Reorder the terms: -16 + 12t = (5 + 3t) + -11 Remove parenthesis around (5 + 3t) -16 + 12t = 5 + 3t + -11 Reorder the terms: -16 + 12t = 5 + -11 + 3t Combine like terms: 5 + -11 = -6 -16 + 12t = -6 + 3t Solving -16 + 12t = -6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -16 + 12t + -3t = -6 + 3t + -3t Combine like terms: 12t + -3t = 9t -16 + 9t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 -16 + 9t = -6 + 0 -16 + 9t = -6 Add '16' to each side of the equation. -16 + 16 + 9t = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 9t = -6 + 16 9t = -6 + 16 Combine like terms: -6 + 16 = 10 9t = 10 Divide each side by '9'. t = 1.111111111 Simplifying t = 1.111111111
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