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Simplifying 4(2a + -1) = -10a + -1(-50) Reorder the terms: 4(-1 + 2a) = -10a + -1(-50) (-1 * 4 + 2a * 4) = -10a + -1(-50) (-4 + 8a) = -10a + -1(-50) Multiply -1 * -50 -4 + 8a = -10a + 50 Reorder the terms: -4 + 8a = 50 + -10a Solving -4 + 8a = 50 + -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. -4 + 8a + 10a = 50 + -10a + 10a Combine like terms: 8a + 10a = 18a -4 + 18a = 50 + -10a + 10a Combine like terms: -10a + 10a = 0 -4 + 18a = 50 + 0 -4 + 18a = 50 Add '4' to each side of the equation. -4 + 4 + 18a = 50 + 4 Combine like terms: -4 + 4 = 0 0 + 18a = 50 + 4 18a = 50 + 4 Combine like terms: 50 + 4 = 54 18a = 54 Divide each side by '18'. a = 3 Simplifying a = 3
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