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Simplifying -3(1 + 14a) + 13a = -3(1 + -12a) (1 * -3 + 14a * -3) + 13a = -3(1 + -12a) (-3 + -42a) + 13a = -3(1 + -12a) Combine like terms: -42a + 13a = -29a -3 + -29a = -3(1 + -12a) -3 + -29a = (1 * -3 + -12a * -3) -3 + -29a = (-3 + 36a) Add '3' to each side of the equation. -3 + 3 + -29a = -3 + 3 + 36a Combine like terms: -3 + 3 = 0 0 + -29a = -3 + 3 + 36a -29a = -3 + 3 + 36a Combine like terms: -3 + 3 = 0 -29a = 0 + 36a -29a = 36a Solving -29a = 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. -29a + -36a = 36a + -36a Combine like terms: -29a + -36a = -65a -65a = 36a + -36a Combine like terms: 36a + -36a = 0 -65a = 0 Divide each side by '-65'. a = 0 Simplifying a = 0
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