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Simplifying 8 + 4(t + -3) = 2(t + 8) + 4 Reorder the terms: 8 + 4(-3 + t) = 2(t + 8) + 4 8 + (-3 * 4 + t * 4) = 2(t + 8) + 4 8 + (-12 + 4t) = 2(t + 8) + 4 Combine like terms: 8 + -12 = -4 -4 + 4t = 2(t + 8) + 4 Reorder the terms: -4 + 4t = 2(8 + t) + 4 -4 + 4t = (8 * 2 + t * 2) + 4 -4 + 4t = (16 + 2t) + 4 Reorder the terms: -4 + 4t = 16 + 4 + 2t Combine like terms: 16 + 4 = 20 -4 + 4t = 20 + 2t Solving -4 + 4t = 20 + 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. -4 + 4t + -2t = 20 + 2t + -2t Combine like terms: 4t + -2t = 2t -4 + 2t = 20 + 2t + -2t Combine like terms: 2t + -2t = 0 -4 + 2t = 20 + 0 -4 + 2t = 20 Add '4' to each side of the equation. -4 + 4 + 2t = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 2t = 20 + 4 2t = 20 + 4 Combine like terms: 20 + 4 = 24 2t = 24 Divide each side by '2'. t = 12 Simplifying t = 12
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