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Simplifying 4a + -3(5a + -14) = 5(7 + a) + -9 Reorder the terms: 4a + -3(-14 + 5a) = 5(7 + a) + -9 4a + (-14 * -3 + 5a * -3) = 5(7 + a) + -9 4a + (42 + -15a) = 5(7 + a) + -9 Reorder the terms: 42 + 4a + -15a = 5(7 + a) + -9 Combine like terms: 4a + -15a = -11a 42 + -11a = 5(7 + a) + -9 42 + -11a = (7 * 5 + a * 5) + -9 42 + -11a = (35 + 5a) + -9 Reorder the terms: 42 + -11a = 35 + -9 + 5a Combine like terms: 35 + -9 = 26 42 + -11a = 26 + 5a Solving 42 + -11a = 26 + 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. 42 + -11a + -5a = 26 + 5a + -5a Combine like terms: -11a + -5a = -16a 42 + -16a = 26 + 5a + -5a Combine like terms: 5a + -5a = 0 42 + -16a = 26 + 0 42 + -16a = 26 Add '-42' to each side of the equation. 42 + -42 + -16a = 26 + -42 Combine like terms: 42 + -42 = 0 0 + -16a = 26 + -42 -16a = 26 + -42 Combine like terms: 26 + -42 = -16 -16a = -16 Divide each side by '-16'. a = 1 Simplifying a = 1
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