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Simplifying 8(10a + -4) + 5a = 5a + -12 Reorder the terms: 8(-4 + 10a) + 5a = 5a + -12 (-4 * 8 + 10a * 8) + 5a = 5a + -12 (-32 + 80a) + 5a = 5a + -12 Combine like terms: 80a + 5a = 85a -32 + 85a = 5a + -12 Reorder the terms: -32 + 85a = -12 + 5a Solving -32 + 85a = -12 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -32 + 85a + -5a = -12 + 5a + -5a Combine like terms: 85a + -5a = 80a -32 + 80a = -12 + 5a + -5a Combine like terms: 5a + -5a = 0 -32 + 80a = -12 + 0 -32 + 80a = -12 Add '32' to each side of the equation. -32 + 32 + 80a = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 80a = -12 + 32 80a = -12 + 32 Combine like terms: -12 + 32 = 20 80a = 20 Divide each side by '80'. a = 0.25 Simplifying a = 0.25
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