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Simplifying 2(2t + -4) = 3(t + 3) Reorder the terms: 2(-4 + 2t) = 3(t + 3) (-4 * 2 + 2t * 2) = 3(t + 3) (-8 + 4t) = 3(t + 3) Reorder the terms: -8 + 4t = 3(3 + t) -8 + 4t = (3 * 3 + t * 3) -8 + 4t = (9 + 3t) Solving -8 + 4t = 9 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -8 + 4t + -3t = 9 + 3t + -3t Combine like terms: 4t + -3t = 1t -8 + 1t = 9 + 3t + -3t Combine like terms: 3t + -3t = 0 -8 + 1t = 9 + 0 -8 + 1t = 9 Add '8' to each side of the equation. -8 + 8 + 1t = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 1t = 9 + 8 1t = 9 + 8 Combine like terms: 9 + 8 = 17 1t = 17 Divide each side by '1'. t = 17 Simplifying t = 17
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