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Simplifying -7(4a + 8) + -5a = 40 + -1a Reorder the terms: -7(8 + 4a) + -5a = 40 + -1a (8 * -7 + 4a * -7) + -5a = 40 + -1a (-56 + -28a) + -5a = 40 + -1a Combine like terms: -28a + -5a = -33a -56 + -33a = 40 + -1a Solving -56 + -33a = 40 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -56 + -33a + a = 40 + -1a + a Combine like terms: -33a + a = -32a -56 + -32a = 40 + -1a + a Combine like terms: -1a + a = 0 -56 + -32a = 40 + 0 -56 + -32a = 40 Add '56' to each side of the equation. -56 + 56 + -32a = 40 + 56 Combine like terms: -56 + 56 = 0 0 + -32a = 40 + 56 -32a = 40 + 56 Combine like terms: 40 + 56 = 96 -32a = 96 Divide each side by '-32'. a = -3 Simplifying a = -3
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