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Simplifying 4(3t + -5) = 6t + -14 Reorder the terms: 4(-5 + 3t) = 6t + -14 (-5 * 4 + 3t * 4) = 6t + -14 (-20 + 12t) = 6t + -14 Reorder the terms: -20 + 12t = -14 + 6t Solving -20 + 12t = -14 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -20 + 12t + -6t = -14 + 6t + -6t Combine like terms: 12t + -6t = 6t -20 + 6t = -14 + 6t + -6t Combine like terms: 6t + -6t = 0 -20 + 6t = -14 + 0 -20 + 6t = -14 Add '20' to each side of the equation. -20 + 20 + 6t = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 6t = -14 + 20 6t = -14 + 20 Combine like terms: -14 + 20 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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