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Simplifying -3(1 + 5) + (4t + 2) = 8 Combine like terms: 1 + 5 = 6 -3(6) + (4t + 2) = 8 Multiply -3 * 6 -18 + (4t + 2) = 8 Reorder the terms: -18 + (2 + 4t) = 8 Remove parenthesis around (2 + 4t) -18 + 2 + 4t = 8 Combine like terms: -18 + 2 = -16 -16 + 4t = 8 Solving -16 + 4t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4t = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 4t = 8 + 16 4t = 8 + 16 Combine like terms: 8 + 16 = 24 4t = 24 Divide each side by '4'. t = 6 Simplifying t = 6
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