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Simplifying 11t + -4 = 5 + 4(t + 10) Reorder the terms: -4 + 11t = 5 + 4(t + 10) Reorder the terms: -4 + 11t = 5 + 4(10 + t) -4 + 11t = 5 + (10 * 4 + t * 4) -4 + 11t = 5 + (40 + 4t) Combine like terms: 5 + 40 = 45 -4 + 11t = 45 + 4t Solving -4 + 11t = 45 + 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. -4 + 11t + -4t = 45 + 4t + -4t Combine like terms: 11t + -4t = 7t -4 + 7t = 45 + 4t + -4t Combine like terms: 4t + -4t = 0 -4 + 7t = 45 + 0 -4 + 7t = 45 Add '4' to each side of the equation. -4 + 4 + 7t = 45 + 4 Combine like terms: -4 + 4 = 0 0 + 7t = 45 + 4 7t = 45 + 4 Combine like terms: 45 + 4 = 49 7t = 49 Divide each side by '7'. t = 7 Simplifying t = 7
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