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Simplifying 7(2t + -3) = 3(4 + 3) Reorder the terms: 7(-3 + 2t) = 3(4 + 3) (-3 * 7 + 2t * 7) = 3(4 + 3) (-21 + 14t) = 3(4 + 3) Combine like terms: 4 + 3 = 7 -21 + 14t = 3(7) Multiply 3 * 7 -21 + 14t = 21 Solving -21 + 14t = 21 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 14t = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 14t = 21 + 21 14t = 21 + 21 Combine like terms: 21 + 21 = 42 14t = 42 Divide each side by '14'. t = 3 Simplifying t = 3
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