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Simplifying 5t + -2(3x + 5) = 3 + t + -8 Reorder the terms: 5t + -2(5 + 3x) = 3 + t + -8 5t + (5 * -2 + 3x * -2) = 3 + t + -8 5t + (-10 + -6x) = 3 + t + -8 Reorder the terms: -10 + 5t + -6x = 3 + t + -8 Reorder the terms: -10 + 5t + -6x = 3 + -8 + t Combine like terms: 3 + -8 = -5 -10 + 5t + -6x = -5 + t Solving -10 + 5t + -6x = -5 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -10 + 5t + -1t + -6x = -5 + t + -1t Combine like terms: 5t + -1t = 4t -10 + 4t + -6x = -5 + t + -1t Combine like terms: t + -1t = 0 -10 + 4t + -6x = -5 + 0 -10 + 4t + -6x = -5 Add '10' to each side of the equation. -10 + 4t + 10 + -6x = -5 + 10 Reorder the terms: -10 + 10 + 4t + -6x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 4t + -6x = -5 + 10 4t + -6x = -5 + 10 Combine like terms: -5 + 10 = 5 4t + -6x = 5 Add '6x' to each side of the equation. 4t + -6x + 6x = 5 + 6x Combine like terms: -6x + 6x = 0 4t + 0 = 5 + 6x 4t = 5 + 6x Divide each side by '4'. t = 1.25 + 1.5x Simplifying t = 1.25 + 1.5x
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