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Simplifying -4 + 2a = 8(4a + 7) Reorder the terms: -4 + 2a = 8(7 + 4a) -4 + 2a = (7 * 8 + 4a * 8) -4 + 2a = (56 + 32a) Solving -4 + 2a = 56 + 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. -4 + 2a + -32a = 56 + 32a + -32a Combine like terms: 2a + -32a = -30a -4 + -30a = 56 + 32a + -32a Combine like terms: 32a + -32a = 0 -4 + -30a = 56 + 0 -4 + -30a = 56 Add '4' to each side of the equation. -4 + 4 + -30a = 56 + 4 Combine like terms: -4 + 4 = 0 0 + -30a = 56 + 4 -30a = 56 + 4 Combine like terms: 56 + 4 = 60 -30a = 60 Divide each side by '-30'. a = -2 Simplifying a = -2
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