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Simplifying 4(2t + 5) + -22 = 7t + -6 Reorder the terms: 4(5 + 2t) + -22 = 7t + -6 (5 * 4 + 2t * 4) + -22 = 7t + -6 (20 + 8t) + -22 = 7t + -6 Reorder the terms: 20 + -22 + 8t = 7t + -6 Combine like terms: 20 + -22 = -2 -2 + 8t = 7t + -6 Reorder the terms: -2 + 8t = -6 + 7t Solving -2 + 8t = -6 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -2 + 8t + -7t = -6 + 7t + -7t Combine like terms: 8t + -7t = 1t -2 + 1t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 -2 + 1t = -6 + 0 -2 + 1t = -6 Add '2' to each side of the equation. -2 + 2 + 1t = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 1t = -6 + 2 1t = -6 + 2 Combine like terms: -6 + 2 = -4 1t = -4 Divide each side by '1'. t = -4 Simplifying t = -4
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