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Simplifying -7 + -5a = 2(5a + 4) Reorder the terms: -7 + -5a = 2(4 + 5a) -7 + -5a = (4 * 2 + 5a * 2) -7 + -5a = (8 + 10a) Solving -7 + -5a = 8 + 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. -7 + -5a + -10a = 8 + 10a + -10a Combine like terms: -5a + -10a = -15a -7 + -15a = 8 + 10a + -10a Combine like terms: 10a + -10a = 0 -7 + -15a = 8 + 0 -7 + -15a = 8 Add '7' to each side of the equation. -7 + 7 + -15a = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -15a = 8 + 7 -15a = 8 + 7 Combine like terms: 8 + 7 = 15 -15a = 15 Divide each side by '-15'. a = -1 Simplifying a = -1
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