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Simplifying 8a + -40 = -5(-7a + -4) + 3a Reorder the terms: -40 + 8a = -5(-7a + -4) + 3a Reorder the terms: -40 + 8a = -5(-4 + -7a) + 3a -40 + 8a = (-4 * -5 + -7a * -5) + 3a -40 + 8a = (20 + 35a) + 3a Combine like terms: 35a + 3a = 38a -40 + 8a = 20 + 38a Solving -40 + 8a = 20 + 38a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-38a' to each side of the equation. -40 + 8a + -38a = 20 + 38a + -38a Combine like terms: 8a + -38a = -30a -40 + -30a = 20 + 38a + -38a Combine like terms: 38a + -38a = 0 -40 + -30a = 20 + 0 -40 + -30a = 20 Add '40' to each side of the equation. -40 + 40 + -30a = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -30a = 20 + 40 -30a = 20 + 40 Combine like terms: 20 + 40 = 60 -30a = 60 Divide each side by '-30'. a = -2 Simplifying a = -2
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