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Simplifying 6a + 4(a + -7) = -11 + -1(4a + 3) Reorder the terms: 6a + 4(-7 + a) = -11 + -1(4a + 3) 6a + (-7 * 4 + a * 4) = -11 + -1(4a + 3) 6a + (-28 + 4a) = -11 + -1(4a + 3) Reorder the terms: -28 + 6a + 4a = -11 + -1(4a + 3) Combine like terms: 6a + 4a = 10a -28 + 10a = -11 + -1(4a + 3) Reorder the terms: -28 + 10a = -11 + -1(3 + 4a) -28 + 10a = -11 + (3 * -1 + 4a * -1) -28 + 10a = -11 + (-3 + -4a) Combine like terms: -11 + -3 = -14 -28 + 10a = -14 + -4a Solving -28 + 10a = -14 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -28 + 10a + 4a = -14 + -4a + 4a Combine like terms: 10a + 4a = 14a -28 + 14a = -14 + -4a + 4a Combine like terms: -4a + 4a = 0 -28 + 14a = -14 + 0 -28 + 14a = -14 Add '28' to each side of the equation. -28 + 28 + 14a = -14 + 28 Combine like terms: -28 + 28 = 0 0 + 14a = -14 + 28 14a = -14 + 28 Combine like terms: -14 + 28 = 14 14a = 14 Divide each side by '14'. a = 1 Simplifying a = 1
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