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Simplifying 8(-4a + -1) = 3(-10a) Reorder the terms: 8(-1 + -4a) = 3(-10a) (-1 * 8 + -4a * 8) = 3(-10a) (-8 + -32a) = 3(-10a) Remove parenthesis around (-10a) -8 + -32a = 3 * -10a Multiply 3 * -10 -8 + -32a = -30a Solving -8 + -32a = -30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30a' to each side of the equation. -8 + -32a + 30a = -30a + 30a Combine like terms: -32a + 30a = -2a -8 + -2a = -30a + 30a Combine like terms: -30a + 30a = 0 -8 + -2a = 0 Add '8' to each side of the equation. -8 + 8 + -2a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2a = 0 + 8 -2a = 0 + 8 Combine like terms: 0 + 8 = 8 -2a = 8 Divide each side by '-2'. a = -4 Simplifying a = -4
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