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Simplifying -4(-6t + -18) = -6(-8t + 20) Reorder the terms: -4(-18 + -6t) = -6(-8t + 20) (-18 * -4 + -6t * -4) = -6(-8t + 20) (72 + 24t) = -6(-8t + 20) Reorder the terms: 72 + 24t = -6(20 + -8t) 72 + 24t = (20 * -6 + -8t * -6) 72 + 24t = (-120 + 48t) Solving 72 + 24t = -120 + 48t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-48t' to each side of the equation. 72 + 24t + -48t = -120 + 48t + -48t Combine like terms: 24t + -48t = -24t 72 + -24t = -120 + 48t + -48t Combine like terms: 48t + -48t = 0 72 + -24t = -120 + 0 72 + -24t = -120 Add '-72' to each side of the equation. 72 + -72 + -24t = -120 + -72 Combine like terms: 72 + -72 = 0 0 + -24t = -120 + -72 -24t = -120 + -72 Combine like terms: -120 + -72 = -192 -24t = -192 Divide each side by '-24'. t = 8 Simplifying t = 8
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