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Simplifying 2(7x + -5) + -1(2t + -3) * 4 = 0 Reorder the terms: 2(-5 + 7x) + -1(2t + -3) * 4 = 0 (-5 * 2 + 7x * 2) + -1(2t + -3) * 4 = 0 (-10 + 14x) + -1(2t + -3) * 4 = 0 Reorder the terms: -10 + 14x + -1(-3 + 2t) * 4 = 0 Reorder the terms for easier multiplication: -10 + 14x + -1 * 4(-3 + 2t) = 0 Multiply -1 * 4 -10 + 14x + -4(-3 + 2t) = 0 -10 + 14x + (-3 * -4 + 2t * -4) = 0 -10 + 14x + (12 + -8t) = 0 Reorder the terms: -10 + 12 + -8t + 14x = 0 Combine like terms: -10 + 12 = 2 2 + -8t + 14x = 0 Solving 2 + -8t + 14x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -8t + -2 + 14x = 0 + -2 Reorder the terms: 2 + -2 + -8t + 14x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -8t + 14x = 0 + -2 -8t + 14x = 0 + -2 Combine like terms: 0 + -2 = -2 -8t + 14x = -2 Add '-14x' to each side of the equation. -8t + 14x + -14x = -2 + -14x Combine like terms: 14x + -14x = 0 -8t + 0 = -2 + -14x -8t = -2 + -14x Divide each side by '-8'. t = 0.25 + 1.75x Simplifying t = 0.25 + 1.75x
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