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Simplifying -4(5t + -4) + 7t = 5t + -7 Reorder the terms: -4(-4 + 5t) + 7t = 5t + -7 (-4 * -4 + 5t * -4) + 7t = 5t + -7 (16 + -20t) + 7t = 5t + -7 Combine like terms: -20t + 7t = -13t 16 + -13t = 5t + -7 Reorder the terms: 16 + -13t = -7 + 5t Solving 16 + -13t = -7 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 16 + -13t + -5t = -7 + 5t + -5t Combine like terms: -13t + -5t = -18t 16 + -18t = -7 + 5t + -5t Combine like terms: 5t + -5t = 0 16 + -18t = -7 + 0 16 + -18t = -7 Add '-16' to each side of the equation. 16 + -16 + -18t = -7 + -16 Combine like terms: 16 + -16 = 0 0 + -18t = -7 + -16 -18t = -7 + -16 Combine like terms: -7 + -16 = -23 -18t = -23 Divide each side by '-18'. t = 1.277777778 Simplifying t = 1.277777778
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