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Simplifying -5(2a + -6) = -8(a + 5) Reorder the terms: -5(-6 + 2a) = -8(a + 5) (-6 * -5 + 2a * -5) = -8(a + 5) (30 + -10a) = -8(a + 5) Reorder the terms: 30 + -10a = -8(5 + a) 30 + -10a = (5 * -8 + a * -8) 30 + -10a = (-40 + -8a) Solving 30 + -10a = -40 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 30 + -10a + 8a = -40 + -8a + 8a Combine like terms: -10a + 8a = -2a 30 + -2a = -40 + -8a + 8a Combine like terms: -8a + 8a = 0 30 + -2a = -40 + 0 30 + -2a = -40 Add '-30' to each side of the equation. 30 + -30 + -2a = -40 + -30 Combine like terms: 30 + -30 = 0 0 + -2a = -40 + -30 -2a = -40 + -30 Combine like terms: -40 + -30 = -70 -2a = -70 Divide each side by '-2'. a = 35 Simplifying a = 35
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