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Simplifying 4t + 7(2t + -5) + -5(3t + 1) = 50 Reorder the terms: 4t + 7(-5 + 2t) + -5(3t + 1) = 50 4t + (-5 * 7 + 2t * 7) + -5(3t + 1) = 50 4t + (-35 + 14t) + -5(3t + 1) = 50 Reorder the terms: 4t + -35 + 14t + -5(1 + 3t) = 50 4t + -35 + 14t + (1 * -5 + 3t * -5) = 50 4t + -35 + 14t + (-5 + -15t) = 50 Reorder the terms: -35 + -5 + 4t + 14t + -15t = 50 Combine like terms: -35 + -5 = -40 -40 + 4t + 14t + -15t = 50 Combine like terms: 4t + 14t = 18t -40 + 18t + -15t = 50 Combine like terms: 18t + -15t = 3t -40 + 3t = 50 Solving -40 + 3t = 50 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 3t = 50 + 40 Combine like terms: -40 + 40 = 0 0 + 3t = 50 + 40 3t = 50 + 40 Combine like terms: 50 + 40 = 90 3t = 90 Divide each side by '3'. t = 30 Simplifying t = 30
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