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Simplifying 7(a + -10) = -5(a + -10) Reorder the terms: 7(-10 + a) = -5(a + -10) (-10 * 7 + a * 7) = -5(a + -10) (-70 + 7a) = -5(a + -10) Reorder the terms: -70 + 7a = -5(-10 + a) -70 + 7a = (-10 * -5 + a * -5) -70 + 7a = (50 + -5a) Solving -70 + 7a = 50 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -70 + 7a + 5a = 50 + -5a + 5a Combine like terms: 7a + 5a = 12a -70 + 12a = 50 + -5a + 5a Combine like terms: -5a + 5a = 0 -70 + 12a = 50 + 0 -70 + 12a = 50 Add '70' to each side of the equation. -70 + 70 + 12a = 50 + 70 Combine like terms: -70 + 70 = 0 0 + 12a = 50 + 70 12a = 50 + 70 Combine like terms: 50 + 70 = 120 12a = 120 Divide each side by '12'. a = 10 Simplifying a = 10
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