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Simplifying -40 + 2a = 4(-8a + 7) Reorder the terms: -40 + 2a = 4(7 + -8a) -40 + 2a = (7 * 4 + -8a * 4) -40 + 2a = (28 + -32a) Solving -40 + 2a = 28 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. -40 + 2a + 32a = 28 + -32a + 32a Combine like terms: 2a + 32a = 34a -40 + 34a = 28 + -32a + 32a Combine like terms: -32a + 32a = 0 -40 + 34a = 28 + 0 -40 + 34a = 28 Add '40' to each side of the equation. -40 + 40 + 34a = 28 + 40 Combine like terms: -40 + 40 = 0 0 + 34a = 28 + 40 34a = 28 + 40 Combine like terms: 28 + 40 = 68 34a = 68 Divide each side by '34'. a = 2 Simplifying a = 2
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