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Simplifying -2(1 + 5a) + -4(4a + 3) = 64 (1 * -2 + 5a * -2) + -4(4a + 3) = 64 (-2 + -10a) + -4(4a + 3) = 64 Reorder the terms: -2 + -10a + -4(3 + 4a) = 64 -2 + -10a + (3 * -4 + 4a * -4) = 64 -2 + -10a + (-12 + -16a) = 64 Reorder the terms: -2 + -12 + -10a + -16a = 64 Combine like terms: -2 + -12 = -14 -14 + -10a + -16a = 64 Combine like terms: -10a + -16a = -26a -14 + -26a = 64 Solving -14 + -26a = 64 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -26a = 64 + 14 Combine like terms: -14 + 14 = 0 0 + -26a = 64 + 14 -26a = 64 + 14 Combine like terms: 64 + 14 = 78 -26a = 78 Divide each side by '-26'. a = -3 Simplifying a = -3
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