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Simplifying 7(t + 8) + -5(-6t + -4) = 36(t + 3) + -8 Reorder the terms: 7(8 + t) + -5(-6t + -4) = 36(t + 3) + -8 (8 * 7 + t * 7) + -5(-6t + -4) = 36(t + 3) + -8 (56 + 7t) + -5(-6t + -4) = 36(t + 3) + -8 Reorder the terms: 56 + 7t + -5(-4 + -6t) = 36(t + 3) + -8 56 + 7t + (-4 * -5 + -6t * -5) = 36(t + 3) + -8 56 + 7t + (20 + 30t) = 36(t + 3) + -8 Reorder the terms: 56 + 20 + 7t + 30t = 36(t + 3) + -8 Combine like terms: 56 + 20 = 76 76 + 7t + 30t = 36(t + 3) + -8 Combine like terms: 7t + 30t = 37t 76 + 37t = 36(t + 3) + -8 Reorder the terms: 76 + 37t = 36(3 + t) + -8 76 + 37t = (3 * 36 + t * 36) + -8 76 + 37t = (108 + 36t) + -8 Reorder the terms: 76 + 37t = 108 + -8 + 36t Combine like terms: 108 + -8 = 100 76 + 37t = 100 + 36t Solving 76 + 37t = 100 + 36t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36t' to each side of the equation. 76 + 37t + -36t = 100 + 36t + -36t Combine like terms: 37t + -36t = 1t 76 + 1t = 100 + 36t + -36t Combine like terms: 36t + -36t = 0 76 + 1t = 100 + 0 76 + 1t = 100 Add '-76' to each side of the equation. 76 + -76 + 1t = 100 + -76 Combine like terms: 76 + -76 = 0 0 + 1t = 100 + -76 1t = 100 + -76 Combine like terms: 100 + -76 = 24 1t = 24 Divide each side by '1'. t = 24 Simplifying t = 24
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