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Simplifying 8(5a + 5) = 8(4a + -5) Reorder the terms: 8(5 + 5a) = 8(4a + -5) (5 * 8 + 5a * 8) = 8(4a + -5) (40 + 40a) = 8(4a + -5) Reorder the terms: 40 + 40a = 8(-5 + 4a) 40 + 40a = (-5 * 8 + 4a * 8) 40 + 40a = (-40 + 32a) Solving 40 + 40a = -40 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. 40 + 40a + -32a = -40 + 32a + -32a Combine like terms: 40a + -32a = 8a 40 + 8a = -40 + 32a + -32a Combine like terms: 32a + -32a = 0 40 + 8a = -40 + 0 40 + 8a = -40 Add '-40' to each side of the equation. 40 + -40 + 8a = -40 + -40 Combine like terms: 40 + -40 = 0 0 + 8a = -40 + -40 8a = -40 + -40 Combine like terms: -40 + -40 = -80 8a = -80 Divide each side by '8'. a = -10 Simplifying a = -10
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