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Simplifying 6(2a + -1) = -10(a + -5) Reorder the terms: 6(-1 + 2a) = -10(a + -5) (-1 * 6 + 2a * 6) = -10(a + -5) (-6 + 12a) = -10(a + -5) Reorder the terms: -6 + 12a = -10(-5 + a) -6 + 12a = (-5 * -10 + a * -10) -6 + 12a = (50 + -10a) Solving -6 + 12a = 50 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -6 + 12a + 10a = 50 + -10a + 10a Combine like terms: 12a + 10a = 22a -6 + 22a = 50 + -10a + 10a Combine like terms: -10a + 10a = 0 -6 + 22a = 50 + 0 -6 + 22a = 50 Add '6' to each side of the equation. -6 + 6 + 22a = 50 + 6 Combine like terms: -6 + 6 = 0 0 + 22a = 50 + 6 22a = 50 + 6 Combine like terms: 50 + 6 = 56 22a = 56 Divide each side by '22'. a = 2.545454545 Simplifying a = 2.545454545
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