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Simplifying -3(2t + -4) = 7(1 + -1t) Reorder the terms: -3(-4 + 2t) = 7(1 + -1t) (-4 * -3 + 2t * -3) = 7(1 + -1t) (12 + -6t) = 7(1 + -1t) 12 + -6t = (1 * 7 + -1t * 7) 12 + -6t = (7 + -7t) Solving 12 + -6t = 7 + -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. 12 + -6t + 7t = 7 + -7t + 7t Combine like terms: -6t + 7t = 1t 12 + 1t = 7 + -7t + 7t Combine like terms: -7t + 7t = 0 12 + 1t = 7 + 0 12 + 1t = 7 Add '-12' to each side of the equation. 12 + -12 + 1t = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 1t = 7 + -12 1t = 7 + -12 Combine like terms: 7 + -12 = -5 1t = -5 Divide each side by '1'. t = -5 Simplifying t = -5
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