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Simplifying -4(t + -3) + 7t = 8t + -3 Reorder the terms: -4(-3 + t) + 7t = 8t + -3 (-3 * -4 + t * -4) + 7t = 8t + -3 (12 + -4t) + 7t = 8t + -3 Combine like terms: -4t + 7t = 3t 12 + 3t = 8t + -3 Reorder the terms: 12 + 3t = -3 + 8t Solving 12 + 3t = -3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 12 + 3t + -8t = -3 + 8t + -8t Combine like terms: 3t + -8t = -5t 12 + -5t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 12 + -5t = -3 + 0 12 + -5t = -3 Add '-12' to each side of the equation. 12 + -12 + -5t = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -5t = -3 + -12 -5t = -3 + -12 Combine like terms: -3 + -12 = -15 -5t = -15 Divide each side by '-5'. t = 3 Simplifying t = 3
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