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Simplifying 4 + -6a + 4a = -5(2a + -7) Combine like terms: -6a + 4a = -2a 4 + -2a = -5(2a + -7) Reorder the terms: 4 + -2a = -5(-7 + 2a) 4 + -2a = (-7 * -5 + 2a * -5) 4 + -2a = (35 + -10a) Solving 4 + -2a = 35 + -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 + -2a + 10a = 35 + -10a + 10a Combine like terms: -2a + 10a = 8a 4 + 8a = 35 + -10a + 10a Combine like terms: -10a + 10a = 0 4 + 8a = 35 + 0 4 + 8a = 35 Add '-4' to each side of the equation. 4 + -4 + 8a = 35 + -4 Combine like terms: 4 + -4 = 0 0 + 8a = 35 + -4 8a = 35 + -4 Combine like terms: 35 + -4 = 31 8a = 31 Divide each side by '8'. a = 3.875 Simplifying a = 3.875
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