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Simplifying t + 3 = 5(2t + -3) Reorder the terms: 3 + t = 5(2t + -3) Reorder the terms: 3 + t = 5(-3 + 2t) 3 + t = (-3 * 5 + 2t * 5) 3 + t = (-15 + 10t) Solving 3 + t = -15 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 3 + t + -10t = -15 + 10t + -10t Combine like terms: t + -10t = -9t 3 + -9t = -15 + 10t + -10t Combine like terms: 10t + -10t = 0 3 + -9t = -15 + 0 3 + -9t = -15 Add '-3' to each side of the equation. 3 + -3 + -9t = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -9t = -15 + -3 -9t = -15 + -3 Combine like terms: -15 + -3 = -18 -9t = -18 Divide each side by '-9'. t = 2 Simplifying t = 2
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