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Simplifying 18(t + -5) + 36 = 7(3t + 5) + -10 Reorder the terms: 18(-5 + t) + 36 = 7(3t + 5) + -10 (-5 * 18 + t * 18) + 36 = 7(3t + 5) + -10 (-90 + 18t) + 36 = 7(3t + 5) + -10 Reorder the terms: -90 + 36 + 18t = 7(3t + 5) + -10 Combine like terms: -90 + 36 = -54 -54 + 18t = 7(3t + 5) + -10 Reorder the terms: -54 + 18t = 7(5 + 3t) + -10 -54 + 18t = (5 * 7 + 3t * 7) + -10 -54 + 18t = (35 + 21t) + -10 Reorder the terms: -54 + 18t = 35 + -10 + 21t Combine like terms: 35 + -10 = 25 -54 + 18t = 25 + 21t Solving -54 + 18t = 25 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -54 + 18t + -21t = 25 + 21t + -21t Combine like terms: 18t + -21t = -3t -54 + -3t = 25 + 21t + -21t Combine like terms: 21t + -21t = 0 -54 + -3t = 25 + 0 -54 + -3t = 25 Add '54' to each side of the equation. -54 + 54 + -3t = 25 + 54 Combine like terms: -54 + 54 = 0 0 + -3t = 25 + 54 -3t = 25 + 54 Combine like terms: 25 + 54 = 79 -3t = 79 Divide each side by '-3'. t = -26.33333333 Simplifying t = -26.33333333
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