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Simplifying 1(t + -5) + 7t = 4(2t + 5) * 9 Reorder the terms: 1(-5 + t) + 7t = 4(2t + 5) * 9 (-5 * 1 + t * 1) + 7t = 4(2t + 5) * 9 (-5 + 1t) + 7t = 4(2t + 5) * 9 Combine like terms: 1t + 7t = 8t -5 + 8t = 4(2t + 5) * 9 Reorder the terms: -5 + 8t = 4(5 + 2t) * 9 Reorder the terms for easier multiplication: -5 + 8t = 4 * 9(5 + 2t) Multiply 4 * 9 -5 + 8t = 36(5 + 2t) -5 + 8t = (5 * 36 + 2t * 36) -5 + 8t = (180 + 72t) Solving -5 + 8t = 180 + 72t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-72t' to each side of the equation. -5 + 8t + -72t = 180 + 72t + -72t Combine like terms: 8t + -72t = -64t -5 + -64t = 180 + 72t + -72t Combine like terms: 72t + -72t = 0 -5 + -64t = 180 + 0 -5 + -64t = 180 Add '5' to each side of the equation. -5 + 5 + -64t = 180 + 5 Combine like terms: -5 + 5 = 0 0 + -64t = 180 + 5 -64t = 180 + 5 Combine like terms: 180 + 5 = 185 -64t = 185 Divide each side by '-64'. t = -2.890625 Simplifying t = -2.890625
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