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Simplifying -4(18 + -7t) = -3(-16 + -8t) (18 * -4 + -7t * -4) = -3(-16 + -8t) (-72 + 28t) = -3(-16 + -8t) -72 + 28t = (-16 * -3 + -8t * -3) -72 + 28t = (48 + 24t) Solving -72 + 28t = 48 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. -72 + 28t + -24t = 48 + 24t + -24t Combine like terms: 28t + -24t = 4t -72 + 4t = 48 + 24t + -24t Combine like terms: 24t + -24t = 0 -72 + 4t = 48 + 0 -72 + 4t = 48 Add '72' to each side of the equation. -72 + 72 + 4t = 48 + 72 Combine like terms: -72 + 72 = 0 0 + 4t = 48 + 72 4t = 48 + 72 Combine like terms: 48 + 72 = 120 4t = 120 Divide each side by '4'. t = 30 Simplifying t = 30
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