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Simplifying -15 + 5a = -4(9a + -7) Reorder the terms: -15 + 5a = -4(-7 + 9a) -15 + 5a = (-7 * -4 + 9a * -4) -15 + 5a = (28 + -36a) Solving -15 + 5a = 28 + -36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36a' to each side of the equation. -15 + 5a + 36a = 28 + -36a + 36a Combine like terms: 5a + 36a = 41a -15 + 41a = 28 + -36a + 36a Combine like terms: -36a + 36a = 0 -15 + 41a = 28 + 0 -15 + 41a = 28 Add '15' to each side of the equation. -15 + 15 + 41a = 28 + 15 Combine like terms: -15 + 15 = 0 0 + 41a = 28 + 15 41a = 28 + 15 Combine like terms: 28 + 15 = 43 41a = 43 Divide each side by '41'. a = 1.048780488 Simplifying a = 1.048780488
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