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Simplifying -3(t + 3) + (4t + 2) = 8 Reorder the terms: -3(3 + t) + (4t + 2) = 8 (3 * -3 + t * -3) + (4t + 2) = 8 (-9 + -3t) + (4t + 2) = 8 Reorder the terms: -9 + -3t + (2 + 4t) = 8 Remove parenthesis around (2 + 4t) -9 + -3t + 2 + 4t = 8 Reorder the terms: -9 + 2 + -3t + 4t = 8 Combine like terms: -9 + 2 = -7 -7 + -3t + 4t = 8 Combine like terms: -3t + 4t = 1t -7 + 1t = 8 Solving -7 + 1t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1t = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 1t = 8 + 7 1t = 8 + 7 Combine like terms: 8 + 7 = 15 1t = 15 Divide each side by '1'. t = 15 Simplifying t = 15
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