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Simplifying 75 = 3(10 + -1t + -3) + 6t Reorder the terms: 75 = 3(10 + -3 + -1t) + 6t Combine like terms: 10 + -3 = 7 75 = 3(7 + -1t) + 6t 75 = (7 * 3 + -1t * 3) + 6t 75 = (21 + -3t) + 6t Combine like terms: -3t + 6t = 3t 75 = 21 + 3t Solving 75 = 21 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 75 + -3t = 21 + 3t + -3t Combine like terms: 3t + -3t = 0 75 + -3t = 21 + 0 75 + -3t = 21 Add '-75' to each side of the equation. 75 + -75 + -3t = 21 + -75 Combine like terms: 75 + -75 = 0 0 + -3t = 21 + -75 -3t = 21 + -75 Combine like terms: 21 + -75 = -54 -3t = -54 Divide each side by '-3'. t = 18 Simplifying t = 18
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