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Simplifying -3(t + 5) + 4(t + 2) = 8 Reorder the terms: -3(5 + t) + 4(t + 2) = 8 (5 * -3 + t * -3) + 4(t + 2) = 8 (-15 + -3t) + 4(t + 2) = 8 Reorder the terms: -15 + -3t + 4(2 + t) = 8 -15 + -3t + (2 * 4 + t * 4) = 8 -15 + -3t + (8 + 4t) = 8 Reorder the terms: -15 + 8 + -3t + 4t = 8 Combine like terms: -15 + 8 = -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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