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Simplifying -10 + -6a = 2 + -1(6 + 7a) -10 + -6a = 2 + (6 * -1 + 7a * -1) -10 + -6a = 2 + (-6 + -7a) Combine like terms: 2 + -6 = -4 -10 + -6a = -4 + -7a Solving -10 + -6a = -4 + -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. -10 + -6a + 7a = -4 + -7a + 7a Combine like terms: -6a + 7a = 1a -10 + 1a = -4 + -7a + 7a Combine like terms: -7a + 7a = 0 -10 + 1a = -4 + 0 -10 + 1a = -4 Add '10' to each side of the equation. -10 + 10 + 1a = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 1a = -4 + 10 1a = -4 + 10 Combine like terms: -4 + 10 = 6 1a = 6 Divide each side by '1'. a = 6 Simplifying a = 6
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