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Simplifying 7t + 4 = 2t + -3(t + 4) Reorder the terms: 4 + 7t = 2t + -3(t + 4) Reorder the terms: 4 + 7t = 2t + -3(4 + t) 4 + 7t = 2t + (4 * -3 + t * -3) 4 + 7t = 2t + (-12 + -3t) Reorder the terms: 4 + 7t = -12 + 2t + -3t Combine like terms: 2t + -3t = -1t 4 + 7t = -12 + -1t Solving 4 + 7t = -12 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 4 + 7t + t = -12 + -1t + t Combine like terms: 7t + t = 8t 4 + 8t = -12 + -1t + t Combine like terms: -1t + t = 0 4 + 8t = -12 + 0 4 + 8t = -12 Add '-4' to each side of the equation. 4 + -4 + 8t = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 8t = -12 + -4 8t = -12 + -4 Combine like terms: -12 + -4 = -16 8t = -16 Divide each side by '8'. t = -2 Simplifying t = -2
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