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Simplifying 5(T + 19) + 10 = 6(T + 9) + -4 Reorder the terms: 5(19 + T) + 10 = 6(T + 9) + -4 (19 * 5 + T * 5) + 10 = 6(T + 9) + -4 (95 + 5T) + 10 = 6(T + 9) + -4 Reorder the terms: 95 + 10 + 5T = 6(T + 9) + -4 Combine like terms: 95 + 10 = 105 105 + 5T = 6(T + 9) + -4 Reorder the terms: 105 + 5T = 6(9 + T) + -4 105 + 5T = (9 * 6 + T * 6) + -4 105 + 5T = (54 + 6T) + -4 Reorder the terms: 105 + 5T = 54 + -4 + 6T Combine like terms: 54 + -4 = 50 105 + 5T = 50 + 6T Solving 105 + 5T = 50 + 6T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-6T' to each side of the equation. 105 + 5T + -6T = 50 + 6T + -6T Combine like terms: 5T + -6T = -1T 105 + -1T = 50 + 6T + -6T Combine like terms: 6T + -6T = 0 105 + -1T = 50 + 0 105 + -1T = 50 Add '-105' to each side of the equation. 105 + -105 + -1T = 50 + -105 Combine like terms: 105 + -105 = 0 0 + -1T = 50 + -105 -1T = 50 + -105 Combine like terms: 50 + -105 = -55 -1T = -55 Divide each side by '-1'. T = 55 Simplifying T = 55
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