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Simplifying -6a + 10 = -4(8a + 4) Reorder the terms: 10 + -6a = -4(8a + 4) Reorder the terms: 10 + -6a = -4(4 + 8a) 10 + -6a = (4 * -4 + 8a * -4) 10 + -6a = (-16 + -32a) Solving 10 + -6a = -16 + -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. 10 + -6a + 32a = -16 + -32a + 32a Combine like terms: -6a + 32a = 26a 10 + 26a = -16 + -32a + 32a Combine like terms: -32a + 32a = 0 10 + 26a = -16 + 0 10 + 26a = -16 Add '-10' to each side of the equation. 10 + -10 + 26a = -16 + -10 Combine like terms: 10 + -10 = 0 0 + 26a = -16 + -10 26a = -16 + -10 Combine like terms: -16 + -10 = -26 26a = -26 Divide each side by '26'. a = -1 Simplifying a = -1
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