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Simplifying 15 + 6a = 8(4a + 5) Reorder the terms: 15 + 6a = 8(5 + 4a) 15 + 6a = (5 * 8 + 4a * 8) 15 + 6a = (40 + 32a) Solving 15 + 6a = 40 + 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. 15 + 6a + -32a = 40 + 32a + -32a Combine like terms: 6a + -32a = -26a 15 + -26a = 40 + 32a + -32a Combine like terms: 32a + -32a = 0 15 + -26a = 40 + 0 15 + -26a = 40 Add '-15' to each side of the equation. 15 + -15 + -26a = 40 + -15 Combine like terms: 15 + -15 = 0 0 + -26a = 40 + -15 -26a = 40 + -15 Combine like terms: 40 + -15 = 25 -26a = 25 Divide each side by '-26'. a = -0.9615384615 Simplifying a = -0.9615384615
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