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Simplifying 10 = 6(a + -7) Reorder the terms: 10 = 6(-7 + a) 10 = (-7 * 6 + a * 6) 10 = (-42 + 6a) Solving 10 = -42 + 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. 10 + -6a = -42 + 6a + -6a Combine like terms: 6a + -6a = 0 10 + -6a = -42 + 0 10 + -6a = -42 Add '-10' to each side of the equation. 10 + -10 + -6a = -42 + -10 Combine like terms: 10 + -10 = 0 0 + -6a = -42 + -10 -6a = -42 + -10 Combine like terms: -42 + -10 = -52 -6a = -52 Divide each side by '-6'. a = 8.666666667 Simplifying a = 8.666666667
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