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Simplifying -3(t + 5) + (4t + 3) = 8 Reorder the terms: -3(5 + t) + (4t + 3) = 8 (5 * -3 + t * -3) + (4t + 3) = 8 (-15 + -3t) + (4t + 3) = 8 Reorder the terms: -15 + -3t + (3 + 4t) = 8 Remove parenthesis around (3 + 4t) -15 + -3t + 3 + 4t = 8 Reorder the terms: -15 + 3 + -3t + 4t = 8 Combine like terms: -15 + 3 = -12 -12 + -3t + 4t = 8 Combine like terms: -3t + 4t = 1t -12 + 1t = 8 Solving -12 + 1t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1t = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 1t = 8 + 12 1t = 8 + 12 Combine like terms: 8 + 12 = 20 1t = 20 Divide each side by '1'. t = 20 Simplifying t = 20
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