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Simplifying 7 + -4(2t + -7) = -21 Reorder the terms: 7 + -4(-7 + 2t) = -21 7 + (-7 * -4 + 2t * -4) = -21 7 + (28 + -8t) = -21 Combine like terms: 7 + 28 = 35 35 + -8t = -21 Solving 35 + -8t = -21 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -8t = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -8t = -21 + -35 -8t = -21 + -35 Combine like terms: -21 + -35 = -56 -8t = -56 Divide each side by '-8'. t = 7 Simplifying t = 7
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