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Simplifying 5(a + -1) = 2(a + -4) + -6 Reorder the terms: 5(-1 + a) = 2(a + -4) + -6 (-1 * 5 + a * 5) = 2(a + -4) + -6 (-5 + 5a) = 2(a + -4) + -6 Reorder the terms: -5 + 5a = 2(-4 + a) + -6 -5 + 5a = (-4 * 2 + a * 2) + -6 -5 + 5a = (-8 + 2a) + -6 Reorder the terms: -5 + 5a = -8 + -6 + 2a Combine like terms: -8 + -6 = -14 -5 + 5a = -14 + 2a Solving -5 + 5a = -14 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -5 + 5a + -2a = -14 + 2a + -2a Combine like terms: 5a + -2a = 3a -5 + 3a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -5 + 3a = -14 + 0 -5 + 3a = -14 Add '5' to each side of the equation. -5 + 5 + 3a = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 3a = -14 + 5 3a = -14 + 5 Combine like terms: -14 + 5 = -9 3a = -9 Divide each side by '3'. a = -3 Simplifying a = -3
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