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Simplifying 4(2a + -2) = -2(1 + -5a) Reorder the terms: 4(-2 + 2a) = -2(1 + -5a) (-2 * 4 + 2a * 4) = -2(1 + -5a) (-8 + 8a) = -2(1 + -5a) -8 + 8a = (1 * -2 + -5a * -2) -8 + 8a = (-2 + 10a) Solving -8 + 8a = -2 + 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 + 8a + -10a = -2 + 10a + -10a Combine like terms: 8a + -10a = -2a -8 + -2a = -2 + 10a + -10a Combine like terms: 10a + -10a = 0 -8 + -2a = -2 + 0 -8 + -2a = -2 Add '8' to each side of the equation. -8 + 8 + -2a = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -2a = -2 + 8 -2a = -2 + 8 Combine like terms: -2 + 8 = 6 -2a = 6 Divide each side by '-2'. a = -3 Simplifying a = -3
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