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Simplifying 6(a + -14) + 2(a + -3) = 14 Reorder the terms: 6(-14 + a) + 2(a + -3) = 14 (-14 * 6 + a * 6) + 2(a + -3) = 14 (-84 + 6a) + 2(a + -3) = 14 Reorder the terms: -84 + 6a + 2(-3 + a) = 14 -84 + 6a + (-3 * 2 + a * 2) = 14 -84 + 6a + (-6 + 2a) = 14 Reorder the terms: -84 + -6 + 6a + 2a = 14 Combine like terms: -84 + -6 = -90 -90 + 6a + 2a = 14 Combine like terms: 6a + 2a = 8a -90 + 8a = 14 Solving -90 + 8a = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 8a = 14 + 90 Combine like terms: -90 + 90 = 0 0 + 8a = 14 + 90 8a = 14 + 90 Combine like terms: 14 + 90 = 104 8a = 104 Divide each side by '8'. a = 13 Simplifying a = 13
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