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Simplifying -3(t + 2) + (4t + 2) = 8 Reorder the terms: -3(2 + t) + (4t + 2) = 8 (2 * -3 + t * -3) + (4t + 2) = 8 (-6 + -3t) + (4t + 2) = 8 Reorder the terms: -6 + -3t + (2 + 4t) = 8 Remove parenthesis around (2 + 4t) -6 + -3t + 2 + 4t = 8 Reorder the terms: -6 + 2 + -3t + 4t = 8 Combine like terms: -6 + 2 = -4 -4 + -3t + 4t = 8 Combine like terms: -3t + 4t = 1t -4 + 1t = 8 Solving -4 + 1t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1t = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 1t = 8 + 4 1t = 8 + 4 Combine like terms: 8 + 4 = 12 1t = 12 Divide each side by '1'. t = 12 Simplifying t = 12
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