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Simplifying -30 + -6a = -8(4a + -6) Reorder the terms: -30 + -6a = -8(-6 + 4a) -30 + -6a = (-6 * -8 + 4a * -8) -30 + -6a = (48 + -32a) Solving -30 + -6a = 48 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. -30 + -6a + 32a = 48 + -32a + 32a Combine like terms: -6a + 32a = 26a -30 + 26a = 48 + -32a + 32a Combine like terms: -32a + 32a = 0 -30 + 26a = 48 + 0 -30 + 26a = 48 Add '30' to each side of the equation. -30 + 30 + 26a = 48 + 30 Combine like terms: -30 + 30 = 0 0 + 26a = 48 + 30 26a = 48 + 30 Combine like terms: 48 + 30 = 78 26a = 78 Divide each side by '26'. a = 3 Simplifying a = 3
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