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Simplifying -1(5t + -15) = 5(-4t + -6) Reorder the terms: -1(-15 + 5t) = 5(-4t + -6) (-15 * -1 + 5t * -1) = 5(-4t + -6) (15 + -5t) = 5(-4t + -6) Reorder the terms: 15 + -5t = 5(-6 + -4t) 15 + -5t = (-6 * 5 + -4t * 5) 15 + -5t = (-30 + -20t) Solving 15 + -5t = -30 + -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. 15 + -5t + 20t = -30 + -20t + 20t Combine like terms: -5t + 20t = 15t 15 + 15t = -30 + -20t + 20t Combine like terms: -20t + 20t = 0 15 + 15t = -30 + 0 15 + 15t = -30 Add '-15' to each side of the equation. 15 + -15 + 15t = -30 + -15 Combine like terms: 15 + -15 = 0 0 + 15t = -30 + -15 15t = -30 + -15 Combine like terms: -30 + -15 = -45 15t = -45 Divide each side by '15'. t = -3 Simplifying t = -3
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