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Simplifying 3(x + -5) + 2(2t + 1) = 8 Reorder the terms: 3(-5 + x) + 2(2t + 1) = 8 (-5 * 3 + x * 3) + 2(2t + 1) = 8 (-15 + 3x) + 2(2t + 1) = 8 Reorder the terms: -15 + 3x + 2(1 + 2t) = 8 -15 + 3x + (1 * 2 + 2t * 2) = 8 -15 + 3x + (2 + 4t) = 8 Reorder the terms: -15 + 2 + 4t + 3x = 8 Combine like terms: -15 + 2 = -13 -13 + 4t + 3x = 8 Solving -13 + 4t + 3x = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 4t + 13 + 3x = 8 + 13 Reorder the terms: -13 + 13 + 4t + 3x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 4t + 3x = 8 + 13 4t + 3x = 8 + 13 Combine like terms: 8 + 13 = 21 4t + 3x = 21 Add '-3x' to each side of the equation. 4t + 3x + -3x = 21 + -3x Combine like terms: 3x + -3x = 0 4t + 0 = 21 + -3x 4t = 21 + -3x Divide each side by '4'. t = 5.25 + -0.75x Simplifying t = 5.25 + -0.75x
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