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Simplifying 6(t + -4) + 5t = 48 + -1t Reorder the terms: 6(-4 + t) + 5t = 48 + -1t (-4 * 6 + t * 6) + 5t = 48 + -1t (-24 + 6t) + 5t = 48 + -1t Combine like terms: 6t + 5t = 11t -24 + 11t = 48 + -1t Solving -24 + 11t = 48 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -24 + 11t + t = 48 + -1t + t Combine like terms: 11t + t = 12t -24 + 12t = 48 + -1t + t Combine like terms: -1t + t = 0 -24 + 12t = 48 + 0 -24 + 12t = 48 Add '24' to each side of the equation. -24 + 24 + 12t = 48 + 24 Combine like terms: -24 + 24 = 0 0 + 12t = 48 + 24 12t = 48 + 24 Combine like terms: 48 + 24 = 72 12t = 72 Divide each side by '12'. t = 6 Simplifying t = 6
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