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Simplifying -1(5 + -1t) = 0[37t + -12t + 5(14 + 3t)] (5 * -1 + -1t * -1) = 0[37t + -12t + 5(14 + 3t)] (-5 + 1t) = 0[37t + -12t + 5(14 + 3t)] -5 + 1t = 0[37t + -12t + (14 * 5 + 3t * 5)] -5 + 1t = 0[37t + -12t + (70 + 15t)] Reorder the terms: -5 + 1t = 0[70 + 37t + -12t + 15t] Combine like terms: 37t + -12t = 25t -5 + 1t = 0[70 + 25t + 15t] Combine like terms: 25t + 15t = 40t -5 + 1t = 0[70 + 40t] Anything times zero is zero. -5 + 1t = 0[70 + 40t] Solving -5 + 1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1t = 0 + 5 1t = 0 + 5 Combine like terms: 0 + 5 = 5 1t = 5 Divide each side by '1'. t = 5 Simplifying t = 5
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