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Simplifying 7(-2t + 3) + -3(-2t) = 0 Reorder the terms: 7(3 + -2t) + -3(-2t) = 0 (3 * 7 + -2t * 7) + -3(-2t) = 0 (21 + -14t) + -3(-2t) = 0 Remove parenthesis around (-2t) 21 + -14t + -3 * -2t = 0 Multiply -3 * -2 21 + -14t + 6t = 0 Combine like terms: -14t + 6t = -8t 21 + -8t = 0 Solving 21 + -8t = 0 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 + -8t = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -8t = 0 + -21 -8t = 0 + -21 Combine like terms: 0 + -21 = -21 -8t = -21 Divide each side by '-8'. t = 2.625 Simplifying t = 2.625
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