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Simplifying -1(4a + -7) + -51 = 10a Reorder the terms: -1(-7 + 4a) + -51 = 10a (-7 * -1 + 4a * -1) + -51 = 10a (7 + -4a) + -51 = 10a Reorder the terms: 7 + -51 + -4a = 10a Combine like terms: 7 + -51 = -44 -44 + -4a = 10a Solving -44 + -4a = 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -44 + -4a + -10a = 10a + -10a Combine like terms: -4a + -10a = -14a -44 + -14a = 10a + -10a Combine like terms: 10a + -10a = 0 -44 + -14a = 0 Add '44' to each side of the equation. -44 + 44 + -14a = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -14a = 0 + 44 -14a = 0 + 44 Combine like terms: 0 + 44 = 44 -14a = 44 Divide each side by '-14'. a = -3.142857143 Simplifying a = -3.142857143
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