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Simplifying 6(a + -5) + 4 = 4(a + -4) Reorder the terms: 6(-5 + a) + 4 = 4(a + -4) (-5 * 6 + a * 6) + 4 = 4(a + -4) (-30 + 6a) + 4 = 4(a + -4) Reorder the terms: -30 + 4 + 6a = 4(a + -4) Combine like terms: -30 + 4 = -26 -26 + 6a = 4(a + -4) Reorder the terms: -26 + 6a = 4(-4 + a) -26 + 6a = (-4 * 4 + a * 4) -26 + 6a = (-16 + 4a) Solving -26 + 6a = -16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -26 + 6a + -4a = -16 + 4a + -4a Combine like terms: 6a + -4a = 2a -26 + 2a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -26 + 2a = -16 + 0 -26 + 2a = -16 Add '26' to each side of the equation. -26 + 26 + 2a = -16 + 26 Combine like terms: -26 + 26 = 0 0 + 2a = -16 + 26 2a = -16 + 26 Combine like terms: -16 + 26 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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