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Simplifying 3(2t + -5) = 3(4t + -3) Reorder the terms: 3(-5 + 2t) = 3(4t + -3) (-5 * 3 + 2t * 3) = 3(4t + -3) (-15 + 6t) = 3(4t + -3) Reorder the terms: -15 + 6t = 3(-3 + 4t) -15 + 6t = (-3 * 3 + 4t * 3) -15 + 6t = (-9 + 12t) Solving -15 + 6t = -9 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -15 + 6t + -12t = -9 + 12t + -12t Combine like terms: 6t + -12t = -6t -15 + -6t = -9 + 12t + -12t Combine like terms: 12t + -12t = 0 -15 + -6t = -9 + 0 -15 + -6t = -9 Add '15' to each side of the equation. -15 + 15 + -6t = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -6t = -9 + 15 -6t = -9 + 15 Combine like terms: -9 + 15 = 6 -6t = 6 Divide each side by '-6'. t = -1 Simplifying t = -1
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