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Simplifying -6 + -10a = -8(2a + 3) Reorder the terms: -6 + -10a = -8(3 + 2a) -6 + -10a = (3 * -8 + 2a * -8) -6 + -10a = (-24 + -16a) Solving -6 + -10a = -24 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. -6 + -10a + 16a = -24 + -16a + 16a Combine like terms: -10a + 16a = 6a -6 + 6a = -24 + -16a + 16a Combine like terms: -16a + 16a = 0 -6 + 6a = -24 + 0 -6 + 6a = -24 Add '6' to each side of the equation. -6 + 6 + 6a = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 6a = -24 + 6 6a = -24 + 6 Combine like terms: -24 + 6 = -18 6a = -18 Divide each side by '6'. a = -3 Simplifying a = -3
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