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Simplifying -288 = -6a + -6(-8 + 6a) -288 = -6a + (-8 * -6 + 6a * -6) -288 = -6a + (48 + -36a) Reorder the terms: -288 = 48 + -6a + -36a Combine like terms: -6a + -36a = -42a -288 = 48 + -42a Solving -288 = 48 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. -288 + 42a = 48 + -42a + 42a Combine like terms: -42a + 42a = 0 -288 + 42a = 48 + 0 -288 + 42a = 48 Add '288' to each side of the equation. -288 + 288 + 42a = 48 + 288 Combine like terms: -288 + 288 = 0 0 + 42a = 48 + 288 42a = 48 + 288 Combine like terms: 48 + 288 = 336 42a = 336 Divide each side by '42'. a = 8 Simplifying a = 8
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