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Simplifying -40 + 6a = 4(8a + 3) Reorder the terms: -40 + 6a = 4(3 + 8a) -40 + 6a = (3 * 4 + 8a * 4) -40 + 6a = (12 + 32a) Solving -40 + 6a = 12 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. -40 + 6a + -32a = 12 + 32a + -32a Combine like terms: 6a + -32a = -26a -40 + -26a = 12 + 32a + -32a Combine like terms: 32a + -32a = 0 -40 + -26a = 12 + 0 -40 + -26a = 12 Add '40' to each side of the equation. -40 + 40 + -26a = 12 + 40 Combine like terms: -40 + 40 = 0 0 + -26a = 12 + 40 -26a = 12 + 40 Combine like terms: 12 + 40 = 52 -26a = 52 Divide each side by '-26'. a = -2 Simplifying a = -2
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