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Simplifying 4(t + -6) = 2t + 4 Reorder the terms: 4(-6 + t) = 2t + 4 (-6 * 4 + t * 4) = 2t + 4 (-24 + 4t) = 2t + 4 Reorder the terms: -24 + 4t = 4 + 2t Solving -24 + 4t = 4 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -24 + 4t + -2t = 4 + 2t + -2t Combine like terms: 4t + -2t = 2t -24 + 2t = 4 + 2t + -2t Combine like terms: 2t + -2t = 0 -24 + 2t = 4 + 0 -24 + 2t = 4 Add '24' to each side of the equation. -24 + 24 + 2t = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 2t = 4 + 24 2t = 4 + 24 Combine like terms: 4 + 24 = 28 2t = 28 Divide each side by '2'. t = 14 Simplifying t = 14
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