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Simplifying 40 + -8a = 4a + -8(a + -4) Reorder the terms: 40 + -8a = 4a + -8(-4 + a) 40 + -8a = 4a + (-4 * -8 + a * -8) 40 + -8a = 4a + (32 + -8a) Reorder the terms: 40 + -8a = 32 + 4a + -8a Combine like terms: 4a + -8a = -4a 40 + -8a = 32 + -4a Solving 40 + -8a = 32 + -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. 40 + -8a + 4a = 32 + -4a + 4a Combine like terms: -8a + 4a = -4a 40 + -4a = 32 + -4a + 4a Combine like terms: -4a + 4a = 0 40 + -4a = 32 + 0 40 + -4a = 32 Add '-40' to each side of the equation. 40 + -40 + -4a = 32 + -40 Combine like terms: 40 + -40 = 0 0 + -4a = 32 + -40 -4a = 32 + -40 Combine like terms: 32 + -40 = -8 -4a = -8 Divide each side by '-4'. a = 2 Simplifying a = 2
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