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Simplifying 5(a + -4) + 6 = -6x + 7 Reorder the terms: 5(-4 + a) + 6 = -6x + 7 (-4 * 5 + a * 5) + 6 = -6x + 7 (-20 + 5a) + 6 = -6x + 7 Reorder the terms: -20 + 6 + 5a = -6x + 7 Combine like terms: -20 + 6 = -14 -14 + 5a = -6x + 7 Reorder the terms: -14 + 5a = 7 + -6x Solving -14 + 5a = 7 + -6x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5a = 7 + 14 + -6x Combine like terms: -14 + 14 = 0 0 + 5a = 7 + 14 + -6x 5a = 7 + 14 + -6x Combine like terms: 7 + 14 = 21 5a = 21 + -6x Divide each side by '5'. a = 4.2 + -1.2x Simplifying a = 4.2 + -1.2x
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