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Simplifying -7a + -14 = -5(a + 6) Reorder the terms: -14 + -7a = -5(a + 6) Reorder the terms: -14 + -7a = -5(6 + a) -14 + -7a = (6 * -5 + a * -5) -14 + -7a = (-30 + -5a) Solving -14 + -7a = -30 + -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. -14 + -7a + 5a = -30 + -5a + 5a Combine like terms: -7a + 5a = -2a -14 + -2a = -30 + -5a + 5a Combine like terms: -5a + 5a = 0 -14 + -2a = -30 + 0 -14 + -2a = -30 Add '14' to each side of the equation. -14 + 14 + -2a = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -2a = -30 + 14 -2a = -30 + 14 Combine like terms: -30 + 14 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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