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Simplifying 6a + -7 = 11(a + -4) Reorder the terms: -7 + 6a = 11(a + -4) Reorder the terms: -7 + 6a = 11(-4 + a) -7 + 6a = (-4 * 11 + a * 11) -7 + 6a = (-44 + 11a) Solving -7 + 6a = -44 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -7 + 6a + -11a = -44 + 11a + -11a Combine like terms: 6a + -11a = -5a -7 + -5a = -44 + 11a + -11a Combine like terms: 11a + -11a = 0 -7 + -5a = -44 + 0 -7 + -5a = -44 Add '7' to each side of the equation. -7 + 7 + -5a = -44 + 7 Combine like terms: -7 + 7 = 0 0 + -5a = -44 + 7 -5a = -44 + 7 Combine like terms: -44 + 7 = -37 -5a = -37 Divide each side by '-5'. a = 7.4 Simplifying a = 7.4
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