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Simplifying 3(a + -6) + -4a(1 + -2a) = 8a2 Reorder the terms: 3(-6 + a) + -4a(1 + -2a) = 8a2 (-6 * 3 + a * 3) + -4a(1 + -2a) = 8a2 (-18 + 3a) + -4a(1 + -2a) = 8a2 -18 + 3a + (1 * -4a + -2a * -4a) = 8a2 -18 + 3a + (-4a + 8a2) = 8a2 Combine like terms: 3a + -4a = -1a -18 + -1a + 8a2 = 8a2 Add '-8a2' to each side of the equation. -18 + -1a + 8a2 + -8a2 = 8a2 + -8a2 Combine like terms: 8a2 + -8a2 = 0 -18 + -1a + 0 = 8a2 + -8a2 -18 + -1a = 8a2 + -8a2 Combine like terms: 8a2 + -8a2 = 0 -18 + -1a = 0 Solving -18 + -1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1a = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1a = 0 + 18 -1a = 0 + 18 Combine like terms: 0 + 18 = 18 -1a = 18 Divide each side by '-1'. a = -18 Simplifying a = -18
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