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Simplifying 5a + -11 = 3(a + -7) Reorder the terms: -11 + 5a = 3(a + -7) Reorder the terms: -11 + 5a = 3(-7 + a) -11 + 5a = (-7 * 3 + a * 3) -11 + 5a = (-21 + 3a) Solving -11 + 5a = -21 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -11 + 5a + -3a = -21 + 3a + -3a Combine like terms: 5a + -3a = 2a -11 + 2a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -11 + 2a = -21 + 0 -11 + 2a = -21 Add '11' to each side of the equation. -11 + 11 + 2a = -21 + 11 Combine like terms: -11 + 11 = 0 0 + 2a = -21 + 11 2a = -21 + 11 Combine like terms: -21 + 11 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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