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Simplifying 5(t + -3) + 2t = 4t + 12 Reorder the terms: 5(-3 + t) + 2t = 4t + 12 (-3 * 5 + t * 5) + 2t = 4t + 12 (-15 + 5t) + 2t = 4t + 12 Combine like terms: 5t + 2t = 7t -15 + 7t = 4t + 12 Reorder the terms: -15 + 7t = 12 + 4t Solving -15 + 7t = 12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -15 + 7t + -4t = 12 + 4t + -4t Combine like terms: 7t + -4t = 3t -15 + 3t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 -15 + 3t = 12 + 0 -15 + 3t = 12 Add '15' to each side of the equation. -15 + 15 + 3t = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3t = 12 + 15 3t = 12 + 15 Combine like terms: 12 + 15 = 27 3t = 27 Divide each side by '3'. t = 9 Simplifying t = 9
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