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Simplifying 5(3 + -7a) = -7a + 15 (3 * 5 + -7a * 5) = -7a + 15 (15 + -35a) = -7a + 15 Reorder the terms: 15 + -35a = 15 + -7a Add '-15' to each side of the equation. 15 + -15 + -35a = 15 + -15 + -7a Combine like terms: 15 + -15 = 0 0 + -35a = 15 + -15 + -7a -35a = 15 + -15 + -7a Combine like terms: 15 + -15 = 0 -35a = 0 + -7a -35a = -7a Solving -35a = -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -35a + 7a = -7a + 7a Combine like terms: -35a + 7a = -28a -28a = -7a + 7a Combine like terms: -7a + 7a = 0 -28a = 0 Divide each side by '-28'. a = 0 Simplifying a = 0
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