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Simplifying 3(t + -3) + 9 = 5(t + -3) + 3 Reorder the terms: 3(-3 + t) + 9 = 5(t + -3) + 3 (-3 * 3 + t * 3) + 9 = 5(t + -3) + 3 (-9 + 3t) + 9 = 5(t + -3) + 3 Reorder the terms: -9 + 9 + 3t = 5(t + -3) + 3 Combine like terms: -9 + 9 = 0 0 + 3t = 5(t + -3) + 3 3t = 5(t + -3) + 3 Reorder the terms: 3t = 5(-3 + t) + 3 3t = (-3 * 5 + t * 5) + 3 3t = (-15 + 5t) + 3 Reorder the terms: 3t = -15 + 3 + 5t Combine like terms: -15 + 3 = -12 3t = -12 + 5t Solving 3t = -12 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 3t + -5t = -12 + 5t + -5t Combine like terms: 3t + -5t = -2t -2t = -12 + 5t + -5t Combine like terms: 5t + -5t = 0 -2t = -12 + 0 -2t = -12 Divide each side by '-2'. t = 6 Simplifying t = 6
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