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Simplifying -5(t + -3) + 7t = 4t + -1 Reorder the terms: -5(-3 + t) + 7t = 4t + -1 (-3 * -5 + t * -5) + 7t = 4t + -1 (15 + -5t) + 7t = 4t + -1 Combine like terms: -5t + 7t = 2t 15 + 2t = 4t + -1 Reorder the terms: 15 + 2t = -1 + 4t Solving 15 + 2t = -1 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 15 + 2t + -4t = -1 + 4t + -4t Combine like terms: 2t + -4t = -2t 15 + -2t = -1 + 4t + -4t Combine like terms: 4t + -4t = 0 15 + -2t = -1 + 0 15 + -2t = -1 Add '-15' to each side of the equation. 15 + -15 + -2t = -1 + -15 Combine like terms: 15 + -15 = 0 0 + -2t = -1 + -15 -2t = -1 + -15 Combine like terms: -1 + -15 = -16 -2t = -16 Divide each side by '-2'. t = 8 Simplifying t = 8
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