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Simplifying 5 + 3(2t + -4) = 9 + -2t Reorder the terms: 5 + 3(-4 + 2t) = 9 + -2t 5 + (-4 * 3 + 2t * 3) = 9 + -2t 5 + (-12 + 6t) = 9 + -2t Combine like terms: 5 + -12 = -7 -7 + 6t = 9 + -2t Solving -7 + 6t = 9 + -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. -7 + 6t + 2t = 9 + -2t + 2t Combine like terms: 6t + 2t = 8t -7 + 8t = 9 + -2t + 2t Combine like terms: -2t + 2t = 0 -7 + 8t = 9 + 0 -7 + 8t = 9 Add '7' to each side of the equation. -7 + 7 + 8t = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 8t = 9 + 7 8t = 9 + 7 Combine like terms: 9 + 7 = 16 8t = 16 Divide each side by '8'. t = 2 Simplifying t = 2
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