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Simplifying -4(x + -5) + 3(a + -7) = 0 Reorder the terms: -4(-5 + x) + 3(a + -7) = 0 (-5 * -4 + x * -4) + 3(a + -7) = 0 (20 + -4x) + 3(a + -7) = 0 Reorder the terms: 20 + -4x + 3(-7 + a) = 0 20 + -4x + (-7 * 3 + a * 3) = 0 20 + -4x + (-21 + 3a) = 0 Reorder the terms: 20 + -21 + 3a + -4x = 0 Combine like terms: 20 + -21 = -1 -1 + 3a + -4x = 0 Solving -1 + 3a + -4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3a + 1 + -4x = 0 + 1 Reorder the terms: -1 + 1 + 3a + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3a + -4x = 0 + 1 3a + -4x = 0 + 1 Combine like terms: 0 + 1 = 1 3a + -4x = 1 Add '4x' to each side of the equation. 3a + -4x + 4x = 1 + 4x Combine like terms: -4x + 4x = 0 3a + 0 = 1 + 4x 3a = 1 + 4x Divide each side by '3'. a = 0.3333333333 + 1.333333333x Simplifying a = 0.3333333333 + 1.333333333x
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