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Simplifying -5a + -3 = -7(7 + 4a) Reorder the terms: -3 + -5a = -7(7 + 4a) -3 + -5a = (7 * -7 + 4a * -7) -3 + -5a = (-49 + -28a) Solving -3 + -5a = -49 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. -3 + -5a + 28a = -49 + -28a + 28a Combine like terms: -5a + 28a = 23a -3 + 23a = -49 + -28a + 28a Combine like terms: -28a + 28a = 0 -3 + 23a = -49 + 0 -3 + 23a = -49 Add '3' to each side of the equation. -3 + 3 + 23a = -49 + 3 Combine like terms: -3 + 3 = 0 0 + 23a = -49 + 3 23a = -49 + 3 Combine like terms: -49 + 3 = -46 23a = -46 Divide each side by '23'. a = -2 Simplifying a = -2
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