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Simplifying 30t = 45(t + -15) Reorder the terms: 30t = 45(-15 + t) 30t = (-15 * 45 + t * 45) 30t = (-675 + 45t) Solving 30t = -675 + 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 = -675 + 45t + -45t Combine like terms: 30t + -45t = -15t -15t = -675 + 45t + -45t Combine like terms: 45t + -45t = 0 -15t = -675 + 0 -15t = -675 Divide each side by '-15'. t = 45 Simplifying t = 45
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