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Simplifying (-6 + 2t)(7) = 0 Reorder the terms for easier multiplication: 7(-6 + 2t) = 0 (-6 * 7 + 2t * 7) = 0 (-42 + 14t) = 0 Solving -42 + 14t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 14t = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 14t = 0 + 42 14t = 0 + 42 Combine like terms: 0 + 42 = 42 14t = 42 Divide each side by '14'. t = 3 Simplifying t = 3
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