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Simplifying 5t + -23 = -2(t + 1) Reorder the terms: -23 + 5t = -2(t + 1) Reorder the terms: -23 + 5t = -2(1 + t) -23 + 5t = (1 * -2 + t * -2) -23 + 5t = (-2 + -2t) Solving -23 + 5t = -2 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -23 + 5t + 2t = -2 + -2t + 2t Combine like terms: 5t + 2t = 7t -23 + 7t = -2 + -2t + 2t Combine like terms: -2t + 2t = 0 -23 + 7t = -2 + 0 -23 + 7t = -2 Add '23' to each side of the equation. -23 + 23 + 7t = -2 + 23 Combine like terms: -23 + 23 = 0 0 + 7t = -2 + 23 7t = -2 + 23 Combine like terms: -2 + 23 = 21 7t = 21 Divide each side by '7'. t = 3 Simplifying t = 3
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