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Simplifying -6(7a + 6) + -8(1 + 3a) = 22 Reorder the terms: -6(6 + 7a) + -8(1 + 3a) = 22 (6 * -6 + 7a * -6) + -8(1 + 3a) = 22 (-36 + -42a) + -8(1 + 3a) = 22 -36 + -42a + (1 * -8 + 3a * -8) = 22 -36 + -42a + (-8 + -24a) = 22 Reorder the terms: -36 + -8 + -42a + -24a = 22 Combine like terms: -36 + -8 = -44 -44 + -42a + -24a = 22 Combine like terms: -42a + -24a = -66a -44 + -66a = 22 Solving -44 + -66a = 22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -66a = 22 + 44 Combine like terms: -44 + 44 = 0 0 + -66a = 22 + 44 -66a = 22 + 44 Combine like terms: 22 + 44 = 66 -66a = 66 Divide each side by '-66'. a = -1 Simplifying a = -1
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