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Simplifying -8(t + -2) + 5(4t + 9) = 11(t + 4) + -7 Reorder the terms: -8(-2 + t) + 5(4t + 9) = 11(t + 4) + -7 (-2 * -8 + t * -8) + 5(4t + 9) = 11(t + 4) + -7 (16 + -8t) + 5(4t + 9) = 11(t + 4) + -7 Reorder the terms: 16 + -8t + 5(9 + 4t) = 11(t + 4) + -7 16 + -8t + (9 * 5 + 4t * 5) = 11(t + 4) + -7 16 + -8t + (45 + 20t) = 11(t + 4) + -7 Reorder the terms: 16 + 45 + -8t + 20t = 11(t + 4) + -7 Combine like terms: 16 + 45 = 61 61 + -8t + 20t = 11(t + 4) + -7 Combine like terms: -8t + 20t = 12t 61 + 12t = 11(t + 4) + -7 Reorder the terms: 61 + 12t = 11(4 + t) + -7 61 + 12t = (4 * 11 + t * 11) + -7 61 + 12t = (44 + 11t) + -7 Reorder the terms: 61 + 12t = 44 + -7 + 11t Combine like terms: 44 + -7 = 37 61 + 12t = 37 + 11t Solving 61 + 12t = 37 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 61 + 12t + -11t = 37 + 11t + -11t Combine like terms: 12t + -11t = 1t 61 + 1t = 37 + 11t + -11t Combine like terms: 11t + -11t = 0 61 + 1t = 37 + 0 61 + 1t = 37 Add '-61' to each side of the equation. 61 + -61 + 1t = 37 + -61 Combine like terms: 61 + -61 = 0 0 + 1t = 37 + -61 1t = 37 + -61 Combine like terms: 37 + -61 = -24 1t = -24 Divide each side by '1'. t = -24 Simplifying t = -24
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