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Simplifying -5(8a + -16) = 6(-2a + 8) Reorder the terms: -5(-16 + 8a) = 6(-2a + 8) (-16 * -5 + 8a * -5) = 6(-2a + 8) (80 + -40a) = 6(-2a + 8) Reorder the terms: 80 + -40a = 6(8 + -2a) 80 + -40a = (8 * 6 + -2a * 6) 80 + -40a = (48 + -12a) Solving 80 + -40a = 48 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 80 + -40a + 12a = 48 + -12a + 12a Combine like terms: -40a + 12a = -28a 80 + -28a = 48 + -12a + 12a Combine like terms: -12a + 12a = 0 80 + -28a = 48 + 0 80 + -28a = 48 Add '-80' to each side of the equation. 80 + -80 + -28a = 48 + -80 Combine like terms: 80 + -80 = 0 0 + -28a = 48 + -80 -28a = 48 + -80 Combine like terms: 48 + -80 = -32 -28a = -32 Divide each side by '-28'. a = 1.142857143 Simplifying a = 1.142857143
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