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Simplifying -4(-6 + 2t) = -30 + t (-6 * -4 + 2t * -4) = -30 + t (24 + -8t) = -30 + t Solving 24 + -8t = -30 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 24 + -8t + -1t = -30 + t + -1t Combine like terms: -8t + -1t = -9t 24 + -9t = -30 + t + -1t Combine like terms: t + -1t = 0 24 + -9t = -30 + 0 24 + -9t = -30 Add '-24' to each side of the equation. 24 + -24 + -9t = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -9t = -30 + -24 -9t = -30 + -24 Combine like terms: -30 + -24 = -54 -9t = -54 Divide each side by '-9'. t = 6 Simplifying t = 6
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