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Simplifying -4(3 + -9) = 8(-8 + -1t) Combine like terms: 3 + -9 = -6 -4(-6) = 8(-8 + -1t) Multiply -4 * -6 24 = 8(-8 + -1t) 24 = (-8 * 8 + -1t * 8) 24 = (-64 + -8t) Solving 24 = -64 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 24 + 8t = -64 + -8t + 8t Combine like terms: -8t + 8t = 0 24 + 8t = -64 + 0 24 + 8t = -64 Add '-24' to each side of the equation. 24 + -24 + 8t = -64 + -24 Combine like terms: 24 + -24 = 0 0 + 8t = -64 + -24 8t = -64 + -24 Combine like terms: -64 + -24 = -88 8t = -88 Divide each side by '8'. t = -11 Simplifying t = -11
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