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Simplifying -130 = 8(6a + -4) + a Reorder the terms: -130 = 8(-4 + 6a) + a -130 = (-4 * 8 + 6a * 8) + a -130 = (-32 + 48a) + a Combine like terms: 48a + a = 49a -130 = -32 + 49a Solving -130 = -32 + 49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49a' to each side of the equation. -130 + -49a = -32 + 49a + -49a Combine like terms: 49a + -49a = 0 -130 + -49a = -32 + 0 -130 + -49a = -32 Add '130' to each side of the equation. -130 + 130 + -49a = -32 + 130 Combine like terms: -130 + 130 = 0 0 + -49a = -32 + 130 -49a = -32 + 130 Combine like terms: -32 + 130 = 98 -49a = 98 Divide each side by '-49'. a = -2 Simplifying a = -2
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