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Simplifying 3 + -4a = 10(a + 1) Reorder the terms: 3 + -4a = 10(1 + a) 3 + -4a = (1 * 10 + a * 10) 3 + -4a = (10 + 10a) Solving 3 + -4a = 10 + 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. 3 + -4a + -10a = 10 + 10a + -10a Combine like terms: -4a + -10a = -14a 3 + -14a = 10 + 10a + -10a Combine like terms: 10a + -10a = 0 3 + -14a = 10 + 0 3 + -14a = 10 Add '-3' to each side of the equation. 3 + -3 + -14a = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -14a = 10 + -3 -14a = 10 + -3 Combine like terms: 10 + -3 = 7 -14a = 7 Divide each side by '-14'. a = -0.5 Simplifying a = -0.5
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