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Simplifying 5(4 + x) + -2(t + 2) = 0 (4 * 5 + x * 5) + -2(t + 2) = 0 (20 + 5x) + -2(t + 2) = 0 Reorder the terms: 20 + 5x + -2(2 + t) = 0 20 + 5x + (2 * -2 + t * -2) = 0 20 + 5x + (-4 + -2t) = 0 Reorder the terms: 20 + -4 + -2t + 5x = 0 Combine like terms: 20 + -4 = 16 16 + -2t + 5x = 0 Solving 16 + -2t + 5x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -2t + -16 + 5x = 0 + -16 Reorder the terms: 16 + -16 + -2t + 5x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2t + 5x = 0 + -16 -2t + 5x = 0 + -16 Combine like terms: 0 + -16 = -16 -2t + 5x = -16 Add '-5x' to each side of the equation. -2t + 5x + -5x = -16 + -5x Combine like terms: 5x + -5x = 0 -2t + 0 = -16 + -5x -2t = -16 + -5x Divide each side by '-2'. t = 8 + 2.5x Simplifying t = 8 + 2.5x
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