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Simplifying -21 + -8a = -16(4 + -5a) -21 + -8a = (4 * -16 + -5a * -16) -21 + -8a = (-64 + 80a) Solving -21 + -8a = -64 + 80a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-80a' to each side of the equation. -21 + -8a + -80a = -64 + 80a + -80a Combine like terms: -8a + -80a = -88a -21 + -88a = -64 + 80a + -80a Combine like terms: 80a + -80a = 0 -21 + -88a = -64 + 0 -21 + -88a = -64 Add '21' to each side of the equation. -21 + 21 + -88a = -64 + 21 Combine like terms: -21 + 21 = 0 0 + -88a = -64 + 21 -88a = -64 + 21 Combine like terms: -64 + 21 = -43 -88a = -43 Divide each side by '-88'. a = 0.4886363636 Simplifying a = 0.4886363636
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