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Simplifying 4(x + -5) + -1(2 + 3a) = -2 Reorder the terms: 4(-5 + x) + -1(2 + 3a) = -2 (-5 * 4 + x * 4) + -1(2 + 3a) = -2 (-20 + 4x) + -1(2 + 3a) = -2 -20 + 4x + (2 * -1 + 3a * -1) = -2 -20 + 4x + (-2 + -3a) = -2 Reorder the terms: -20 + -2 + -3a + 4x = -2 Combine like terms: -20 + -2 = -22 -22 + -3a + 4x = -2 Solving -22 + -3a + 4x = -2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22' to each side of the equation. -22 + -3a + 22 + 4x = -2 + 22 Reorder the terms: -22 + 22 + -3a + 4x = -2 + 22 Combine like terms: -22 + 22 = 0 0 + -3a + 4x = -2 + 22 -3a + 4x = -2 + 22 Combine like terms: -2 + 22 = 20 -3a + 4x = 20 Add '-4x' to each side of the equation. -3a + 4x + -4x = 20 + -4x Combine like terms: 4x + -4x = 0 -3a + 0 = 20 + -4x -3a = 20 + -4x Divide each side by '-3'. a = -6.666666667 + 1.333333333x Simplifying a = -6.666666667 + 1.333333333x
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