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Simplifying 4(2a + -1) = -10(10a + -5) Reorder the terms: 4(-1 + 2a) = -10(10a + -5) (-1 * 4 + 2a * 4) = -10(10a + -5) (-4 + 8a) = -10(10a + -5) Reorder the terms: -4 + 8a = -10(-5 + 10a) -4 + 8a = (-5 * -10 + 10a * -10) -4 + 8a = (50 + -100a) Solving -4 + 8a = 50 + -100a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '100a' to each side of the equation. -4 + 8a + 100a = 50 + -100a + 100a Combine like terms: 8a + 100a = 108a -4 + 108a = 50 + -100a + 100a Combine like terms: -100a + 100a = 0 -4 + 108a = 50 + 0 -4 + 108a = 50 Add '4' to each side of the equation. -4 + 4 + 108a = 50 + 4 Combine like terms: -4 + 4 = 0 0 + 108a = 50 + 4 108a = 50 + 4 Combine like terms: 50 + 4 = 54 108a = 54 Divide each side by '108'. a = 0.5 Simplifying a = 0.5
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