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Simplifying 4(2t + 5) + -21 = 7 + -6 Reorder the terms: 4(5 + 2t) + -21 = 7 + -6 (5 * 4 + 2t * 4) + -21 = 7 + -6 (20 + 8t) + -21 = 7 + -6 Reorder the terms: 20 + -21 + 8t = 7 + -6 Combine like terms: 20 + -21 = -1 -1 + 8t = 7 + -6 Combine like terms: 7 + -6 = 1 -1 + 8t = 1 Solving -1 + 8t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8t = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 8t = 1 + 1 8t = 1 + 1 Combine like terms: 1 + 1 = 2 8t = 2 Divide each side by '8'. t = 0.25 Simplifying t = 0.25
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