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Simplifying 4t + -5(t + 2) = 8t + -3 Reorder the terms: 4t + -5(2 + t) = 8t + -3 4t + (2 * -5 + t * -5) = 8t + -3 4t + (-10 + -5t) = 8t + -3 Reorder the terms: -10 + 4t + -5t = 8t + -3 Combine like terms: 4t + -5t = -1t -10 + -1t = 8t + -3 Reorder the terms: -10 + -1t = -3 + 8t Solving -10 + -1t = -3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -10 + -1t + -8t = -3 + 8t + -8t Combine like terms: -1t + -8t = -9t -10 + -9t = -3 + 8t + -8t Combine like terms: 8t + -8t = 0 -10 + -9t = -3 + 0 -10 + -9t = -3 Add '10' to each side of the equation. -10 + 10 + -9t = -3 + 10 Combine like terms: -10 + 10 = 0 0 + -9t = -3 + 10 -9t = -3 + 10 Combine like terms: -3 + 10 = 7 -9t = 7 Divide each side by '-9'. t = -0.7777777778 Simplifying t = -0.7777777778
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