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Simplifying yt + 7a + -1x = 4x + -1t Reorder the terms: 7a + ty + -1x = 4x + -1t Reorder the terms: 7a + ty + -1x = -1t + 4x Solving 7a + ty + -1x = -1t + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1ty' to each side of the equation. 7a + ty + -1ty + -1x = -1t + -1ty + 4x Combine like terms: ty + -1ty = 0 7a + 0 + -1x = -1t + -1ty + 4x 7a + -1x = -1t + -1ty + 4x Add 'x' to each side of the equation. 7a + -1x + x = -1t + -1ty + 4x + x Combine like terms: -1x + x = 0 7a + 0 = -1t + -1ty + 4x + x 7a = -1t + -1ty + 4x + x Combine like terms: 4x + x = 5x 7a = -1t + -1ty + 5x Divide each side by '7'. a = -0.1428571429t + -0.1428571429ty + 0.7142857143x Simplifying a = -0.1428571429t + -0.1428571429ty + 0.7142857143x
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