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Simplifying -4(3t + -3) + 7t = 3t + -7 Reorder the terms: -4(-3 + 3t) + 7t = 3t + -7 (-3 * -4 + 3t * -4) + 7t = 3t + -7 (12 + -12t) + 7t = 3t + -7 Combine like terms: -12t + 7t = -5t 12 + -5t = 3t + -7 Reorder the terms: 12 + -5t = -7 + 3t Solving 12 + -5t = -7 + 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. 12 + -5t + -3t = -7 + 3t + -3t Combine like terms: -5t + -3t = -8t 12 + -8t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + -8t = -7 + 0 12 + -8t = -7 Add '-12' to each side of the equation. 12 + -12 + -8t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -8t = -7 + -12 -8t = -7 + -12 Combine like terms: -7 + -12 = -19 -8t = -19 Divide each side by '-8'. t = 2.375 Simplifying t = 2.375
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