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Simplifying 10 = 6[a + -7] + -14 Reorder the terms: 10 = 6[-7 + a] + -14 10 = [-7 * 6 + a * 6] + -14 10 = [-42 + 6a] + -14 Reorder the terms: 10 = -42 + -14 + 6a Combine like terms: -42 + -14 = -56 10 = -56 + 6a Solving 10 = -56 + 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 = -56 + 6a + -6a Combine like terms: 6a + -6a = 0 10 + -6a = -56 + 0 10 + -6a = -56 Add '-10' to each side of the equation. 10 + -10 + -6a = -56 + -10 Combine like terms: 10 + -10 = 0 0 + -6a = -56 + -10 -6a = -56 + -10 Combine like terms: -56 + -10 = -66 -6a = -66 Divide each side by '-6'. a = 11 Simplifying a = 11
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