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Simplifying 7(t + 4) + 3(2t + -5) = 0 Reorder the terms: 7(4 + t) + 3(2t + -5) = 0 (4 * 7 + t * 7) + 3(2t + -5) = 0 (28 + 7t) + 3(2t + -5) = 0 Reorder the terms: 28 + 7t + 3(-5 + 2t) = 0 28 + 7t + (-5 * 3 + 2t * 3) = 0 28 + 7t + (-15 + 6t) = 0 Reorder the terms: 28 + -15 + 7t + 6t = 0 Combine like terms: 28 + -15 = 13 13 + 7t + 6t = 0 Combine like terms: 7t + 6t = 13t 13 + 13t = 0 Solving 13 + 13t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 13t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 13t = 0 + -13 13t = 0 + -13 Combine like terms: 0 + -13 = -13 13t = -13 Divide each side by '13'. t = -1 Simplifying t = -1
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