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Simplifying 4t + -18 = 2(t + 3) Reorder the terms: -18 + 4t = 2(t + 3) Reorder the terms: -18 + 4t = 2(3 + t) -18 + 4t = (3 * 2 + t * 2) -18 + 4t = (6 + 2t) Solving -18 + 4t = 6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -18 + 4t + -2t = 6 + 2t + -2t Combine like terms: 4t + -2t = 2t -18 + 2t = 6 + 2t + -2t Combine like terms: 2t + -2t = 0 -18 + 2t = 6 + 0 -18 + 2t = 6 Add '18' to each side of the equation. -18 + 18 + 2t = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 2t = 6 + 18 2t = 6 + 18 Combine like terms: 6 + 18 = 24 2t = 24 Divide each side by '2'. t = 12 Simplifying t = 12
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