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Simplifying -3(t + 15) + 4t + 2 = 8 Reorder the terms: -3(15 + t) + 4t + 2 = 8 (15 * -3 + t * -3) + 4t + 2 = 8 (-45 + -3t) + 4t + 2 = 8 Reorder the terms: -45 + 2 + -3t + 4t = 8 Combine like terms: -45 + 2 = -43 -43 + -3t + 4t = 8 Combine like terms: -3t + 4t = 1t -43 + 1t = 8 Solving -43 + 1t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 1t = 8 + 43 Combine like terms: -43 + 43 = 0 0 + 1t = 8 + 43 1t = 8 + 43 Combine like terms: 8 + 43 = 51 1t = 51 Divide each side by '1'. t = 51 Simplifying t = 51
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