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Simplifying 10(t + -5) + 4t = 7(t + 5) + -9 Reorder the terms: 10(-5 + t) + 4t = 7(t + 5) + -9 (-5 * 10 + t * 10) + 4t = 7(t + 5) + -9 (-50 + 10t) + 4t = 7(t + 5) + -9 Combine like terms: 10t + 4t = 14t -50 + 14t = 7(t + 5) + -9 Reorder the terms: -50 + 14t = 7(5 + t) + -9 -50 + 14t = (5 * 7 + t * 7) + -9 -50 + 14t = (35 + 7t) + -9 Reorder the terms: -50 + 14t = 35 + -9 + 7t Combine like terms: 35 + -9 = 26 -50 + 14t = 26 + 7t Solving -50 + 14t = 26 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -50 + 14t + -7t = 26 + 7t + -7t Combine like terms: 14t + -7t = 7t -50 + 7t = 26 + 7t + -7t Combine like terms: 7t + -7t = 0 -50 + 7t = 26 + 0 -50 + 7t = 26 Add '50' to each side of the equation. -50 + 50 + 7t = 26 + 50 Combine like terms: -50 + 50 = 0 0 + 7t = 26 + 50 7t = 26 + 50 Combine like terms: 26 + 50 = 76 7t = 76 Divide each side by '7'. t = 10.85714286 Simplifying t = 10.85714286
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