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Simplifying 7(-2a + -6) = 14 + -7a Reorder the terms: 7(-6 + -2a) = 14 + -7a (-6 * 7 + -2a * 7) = 14 + -7a (-42 + -14a) = 14 + -7a Solving -42 + -14a = 14 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -42 + -14a + 7a = 14 + -7a + 7a Combine like terms: -14a + 7a = -7a -42 + -7a = 14 + -7a + 7a Combine like terms: -7a + 7a = 0 -42 + -7a = 14 + 0 -42 + -7a = 14 Add '42' to each side of the equation. -42 + 42 + -7a = 14 + 42 Combine like terms: -42 + 42 = 0 0 + -7a = 14 + 42 -7a = 14 + 42 Combine like terms: 14 + 42 = 56 -7a = 56 Divide each side by '-7'. a = -8 Simplifying a = -8
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