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Simplifying 6t + 3(2t + -5) = 4 + -7t Reorder the terms: 6t + 3(-5 + 2t) = 4 + -7t 6t + (-5 * 3 + 2t * 3) = 4 + -7t 6t + (-15 + 6t) = 4 + -7t Reorder the terms: -15 + 6t + 6t = 4 + -7t Combine like terms: 6t + 6t = 12t -15 + 12t = 4 + -7t Solving -15 + 12t = 4 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. -15 + 12t + 7t = 4 + -7t + 7t Combine like terms: 12t + 7t = 19t -15 + 19t = 4 + -7t + 7t Combine like terms: -7t + 7t = 0 -15 + 19t = 4 + 0 -15 + 19t = 4 Add '15' to each side of the equation. -15 + 15 + 19t = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 19t = 4 + 15 19t = 4 + 15 Combine like terms: 4 + 15 = 19 19t = 19 Divide each side by '19'. t = 1 Simplifying t = 1
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