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Simplifying 6(2a + -13) = 5(10a + -8) Reorder the terms: 6(-13 + 2a) = 5(10a + -8) (-13 * 6 + 2a * 6) = 5(10a + -8) (-78 + 12a) = 5(10a + -8) Reorder the terms: -78 + 12a = 5(-8 + 10a) -78 + 12a = (-8 * 5 + 10a * 5) -78 + 12a = (-40 + 50a) Solving -78 + 12a = -40 + 50a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-50a' to each side of the equation. -78 + 12a + -50a = -40 + 50a + -50a Combine like terms: 12a + -50a = -38a -78 + -38a = -40 + 50a + -50a Combine like terms: 50a + -50a = 0 -78 + -38a = -40 + 0 -78 + -38a = -40 Add '78' to each side of the equation. -78 + 78 + -38a = -40 + 78 Combine like terms: -78 + 78 = 0 0 + -38a = -40 + 78 -38a = -40 + 78 Combine like terms: -40 + 78 = 38 -38a = 38 Divide each side by '-38'. a = -1 Simplifying a = -1
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