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Simplifying -4(x + -7) + -1(t + 8) = 3 Reorder the terms: -4(-7 + x) + -1(t + 8) = 3 (-7 * -4 + x * -4) + -1(t + 8) = 3 (28 + -4x) + -1(t + 8) = 3 Reorder the terms: 28 + -4x + -1(8 + t) = 3 28 + -4x + (8 * -1 + t * -1) = 3 28 + -4x + (-8 + -1t) = 3 Reorder the terms: 28 + -8 + -1t + -4x = 3 Combine like terms: 28 + -8 = 20 20 + -1t + -4x = 3 Solving 20 + -1t + -4x = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -1t + -20 + -4x = 3 + -20 Reorder the terms: 20 + -20 + -1t + -4x = 3 + -20 Combine like terms: 20 + -20 = 0 0 + -1t + -4x = 3 + -20 -1t + -4x = 3 + -20 Combine like terms: 3 + -20 = -17 -1t + -4x = -17 Add '4x' to each side of the equation. -1t + -4x + 4x = -17 + 4x Combine like terms: -4x + 4x = 0 -1t + 0 = -17 + 4x -1t = -17 + 4x Divide each side by '-1'. t = 17 + -4x Simplifying t = 17 + -4x
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