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Simplifying (-4a + -1) * 8 = 10a + 3 Reorder the terms: (-1 + -4a) * 8 = 10a + 3 Reorder the terms for easier multiplication: 8(-1 + -4a) = 10a + 3 (-1 * 8 + -4a * 8) = 10a + 3 (-8 + -32a) = 10a + 3 Reorder the terms: -8 + -32a = 3 + 10a Solving -8 + -32a = 3 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -8 + -32a + -10a = 3 + 10a + -10a Combine like terms: -32a + -10a = -42a -8 + -42a = 3 + 10a + -10a Combine like terms: 10a + -10a = 0 -8 + -42a = 3 + 0 -8 + -42a = 3 Add '8' to each side of the equation. -8 + 8 + -42a = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -42a = 3 + 8 -42a = 3 + 8 Combine like terms: 3 + 8 = 11 -42a = 11 Divide each side by '-42'. a = -0.2619047619 Simplifying a = -0.2619047619
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