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Simplifying 30t = 45(t + -2) Reorder the terms: 30t = 45(-2 + t) 30t = (-2 * 45 + t * 45) 30t = (-90 + 45t) Solving 30t = -90 + 45t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45t' to each side of the equation. 30t + -45t = -90 + 45t + -45t Combine like terms: 30t + -45t = -15t -15t = -90 + 45t + -45t Combine like terms: 45t + -45t = 0 -15t = -90 + 0 -15t = -90 Divide each side by '-15'. t = 6 Simplifying t = 6
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