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Simplifying 4t + -10 = 12 + 2(t + 8) Reorder the terms: -10 + 4t = 12 + 2(t + 8) Reorder the terms: -10 + 4t = 12 + 2(8 + t) -10 + 4t = 12 + (8 * 2 + t * 2) -10 + 4t = 12 + (16 + 2t) Combine like terms: 12 + 16 = 28 -10 + 4t = 28 + 2t Solving -10 + 4t = 28 + 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. -10 + 4t + -2t = 28 + 2t + -2t Combine like terms: 4t + -2t = 2t -10 + 2t = 28 + 2t + -2t Combine like terms: 2t + -2t = 0 -10 + 2t = 28 + 0 -10 + 2t = 28 Add '10' to each side of the equation. -10 + 10 + 2t = 28 + 10 Combine like terms: -10 + 10 = 0 0 + 2t = 28 + 10 2t = 28 + 10 Combine like terms: 28 + 10 = 38 2t = 38 Divide each side by '2'. t = 19 Simplifying t = 19
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