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Simplifying -2a + -4 = 6(a + -1) + -1 Reorder the terms: -4 + -2a = 6(a + -1) + -1 Reorder the terms: -4 + -2a = 6(-1 + a) + -1 -4 + -2a = (-1 * 6 + a * 6) + -1 -4 + -2a = (-6 + 6a) + -1 Reorder the terms: -4 + -2a = -6 + -1 + 6a Combine like terms: -6 + -1 = -7 -4 + -2a = -7 + 6a Solving -4 + -2a = -7 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -4 + -2a + -6a = -7 + 6a + -6a Combine like terms: -2a + -6a = -8a -4 + -8a = -7 + 6a + -6a Combine like terms: 6a + -6a = 0 -4 + -8a = -7 + 0 -4 + -8a = -7 Add '4' to each side of the equation. -4 + 4 + -8a = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -8a = -7 + 4 -8a = -7 + 4 Combine like terms: -7 + 4 = -3 -8a = -3 Divide each side by '-8'. a = 0.375 Simplifying a = 0.375
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