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Simplifying 4(2t + 5) + -21 = 6t + -15 Reorder the terms: 4(5 + 2t) + -21 = 6t + -15 (5 * 4 + 2t * 4) + -21 = 6t + -15 (20 + 8t) + -21 = 6t + -15 Reorder the terms: 20 + -21 + 8t = 6t + -15 Combine like terms: 20 + -21 = -1 -1 + 8t = 6t + -15 Reorder the terms: -1 + 8t = -15 + 6t Solving -1 + 8t = -15 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -1 + 8t + -6t = -15 + 6t + -6t Combine like terms: 8t + -6t = 2t -1 + 2t = -15 + 6t + -6t Combine like terms: 6t + -6t = 0 -1 + 2t = -15 + 0 -1 + 2t = -15 Add '1' to each side of the equation. -1 + 1 + 2t = -15 + 1 Combine like terms: -1 + 1 = 0 0 + 2t = -15 + 1 2t = -15 + 1 Combine like terms: -15 + 1 = -14 2t = -14 Divide each side by '2'. t = -7 Simplifying t = -7
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