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Simplifying 5(7 + -3t) = 21t + 35 (7 * 5 + -3t * 5) = 21t + 35 (35 + -15t) = 21t + 35 Reorder the terms: 35 + -15t = 35 + 21t Add '-35' to each side of the equation. 35 + -35 + -15t = 35 + -35 + 21t Combine like terms: 35 + -35 = 0 0 + -15t = 35 + -35 + 21t -15t = 35 + -35 + 21t Combine like terms: 35 + -35 = 0 -15t = 0 + 21t -15t = 21t Solving -15t = 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -15t + -21t = 21t + -21t Combine like terms: -15t + -21t = -36t -36t = 21t + -21t Combine like terms: 21t + -21t = 0 -36t = 0 Divide each side by '-36'. t = 0 Simplifying t = 0
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