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Simplifying -6(a + 7) = -4(8a + 4) Reorder the terms: -6(7 + a) = -4(8a + 4) (7 * -6 + a * -6) = -4(8a + 4) (-42 + -6a) = -4(8a + 4) Reorder the terms: -42 + -6a = -4(4 + 8a) -42 + -6a = (4 * -4 + 8a * -4) -42 + -6a = (-16 + -32a) Solving -42 + -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. -42 + -6a + 32a = -16 + -32a + 32a Combine like terms: -6a + 32a = 26a -42 + 26a = -16 + -32a + 32a Combine like terms: -32a + 32a = 0 -42 + 26a = -16 + 0 -42 + 26a = -16 Add '42' to each side of the equation. -42 + 42 + 26a = -16 + 42 Combine like terms: -42 + 42 = 0 0 + 26a = -16 + 42 26a = -16 + 42 Combine like terms: -16 + 42 = 26 26a = 26 Divide each side by '26'. a = 1 Simplifying a = 1
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