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Simplifying 4(2a + -1) = 4(6a + -5) Reorder the terms: 4(-1 + 2a) = 4(6a + -5) (-1 * 4 + 2a * 4) = 4(6a + -5) (-4 + 8a) = 4(6a + -5) Reorder the terms: -4 + 8a = 4(-5 + 6a) -4 + 8a = (-5 * 4 + 6a * 4) -4 + 8a = (-20 + 24a) Solving -4 + 8a = -20 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -4 + 8a + -24a = -20 + 24a + -24a Combine like terms: 8a + -24a = -16a -4 + -16a = -20 + 24a + -24a Combine like terms: 24a + -24a = 0 -4 + -16a = -20 + 0 -4 + -16a = -20 Add '4' to each side of the equation. -4 + 4 + -16a = -20 + 4 Combine like terms: -4 + 4 = 0 0 + -16a = -20 + 4 -16a = -20 + 4 Combine like terms: -20 + 4 = -16 -16a = -16 Divide each side by '-16'. a = 1 Simplifying a = 1
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