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Simplifying -228 = -7a + -8(1 + 6a) -228 = -7a + (1 * -8 + 6a * -8) -228 = -7a + (-8 + -48a) Reorder the terms: -228 = -8 + -7a + -48a Combine like terms: -7a + -48a = -55a -228 = -8 + -55a Solving -228 = -8 + -55a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '55a' to each side of the equation. -228 + 55a = -8 + -55a + 55a Combine like terms: -55a + 55a = 0 -228 + 55a = -8 + 0 -228 + 55a = -8 Add '228' to each side of the equation. -228 + 228 + 55a = -8 + 228 Combine like terms: -228 + 228 = 0 0 + 55a = -8 + 228 55a = -8 + 228 Combine like terms: -8 + 228 = 220 55a = 220 Divide each side by '55'. a = 4 Simplifying a = 4
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