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Simplifying -29 + 4a = -4a + -1(1 + 6a) -29 + 4a = -4a + (1 * -1 + 6a * -1) -29 + 4a = -4a + (-1 + -6a) Reorder the terms: -29 + 4a = -1 + -4a + -6a Combine like terms: -4a + -6a = -10a -29 + 4a = -1 + -10a Solving -29 + 4a = -1 + -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. -29 + 4a + 10a = -1 + -10a + 10a Combine like terms: 4a + 10a = 14a -29 + 14a = -1 + -10a + 10a Combine like terms: -10a + 10a = 0 -29 + 14a = -1 + 0 -29 + 14a = -1 Add '29' to each side of the equation. -29 + 29 + 14a = -1 + 29 Combine like terms: -29 + 29 = 0 0 + 14a = -1 + 29 14a = -1 + 29 Combine like terms: -1 + 29 = 28 14a = 28 Divide each side by '14'. a = 2 Simplifying a = 2
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