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Simplifying 4a + -3(5a + -14) = 5(7 + a) Reorder the terms: 4a + -3(-14 + 5a) = 5(7 + a) 4a + (-14 * -3 + 5a * -3) = 5(7 + a) 4a + (42 + -15a) = 5(7 + a) Reorder the terms: 42 + 4a + -15a = 5(7 + a) Combine like terms: 4a + -15a = -11a 42 + -11a = 5(7 + a) 42 + -11a = (7 * 5 + a * 5) 42 + -11a = (35 + 5a) Solving 42 + -11a = 35 + 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 = 35 + 5a + -5a Combine like terms: -11a + -5a = -16a 42 + -16a = 35 + 5a + -5a Combine like terms: 5a + -5a = 0 42 + -16a = 35 + 0 42 + -16a = 35 Add '-42' to each side of the equation. 42 + -42 + -16a = 35 + -42 Combine like terms: 42 + -42 = 0 0 + -16a = 35 + -42 -16a = 35 + -42 Combine like terms: 35 + -42 = -7 -16a = -7 Divide each side by '-16'. a = 0.4375 Simplifying a = 0.4375
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