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Simplifying 4a + 7y = 43(4x + -13) + -2(9x + -3) Reorder the terms: 4a + 7y = 43(-13 + 4x) + -2(9x + -3) 4a + 7y = (-13 * 43 + 4x * 43) + -2(9x + -3) 4a + 7y = (-559 + 172x) + -2(9x + -3) Reorder the terms: 4a + 7y = -559 + 172x + -2(-3 + 9x) 4a + 7y = -559 + 172x + (-3 * -2 + 9x * -2) 4a + 7y = -559 + 172x + (6 + -18x) Reorder the terms: 4a + 7y = -559 + 6 + 172x + -18x Combine like terms: -559 + 6 = -553 4a + 7y = -553 + 172x + -18x Combine like terms: 172x + -18x = 154x 4a + 7y = -553 + 154x Solving 4a + 7y = -553 + 154x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7y' to each side of the equation. 4a + 7y + -7y = -553 + 154x + -7y Combine like terms: 7y + -7y = 0 4a + 0 = -553 + 154x + -7y 4a = -553 + 154x + -7y Divide each side by '4'. a = -138.25 + 38.5x + -1.75y Simplifying a = -138.25 + 38.5x + -1.75y
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