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Simplifying -3(1 + 14a) + 13a = -3(a + -12a) (1 * -3 + 14a * -3) + 13a = -3(a + -12a) (-3 + -42a) + 13a = -3(a + -12a) Combine like terms: -42a + 13a = -29a -3 + -29a = -3(a + -12a) Combine like terms: a + -12a = -11a -3 + -29a = -3(-11a) Remove parenthesis around (-11a) -3 + -29a = -3 * -11a Multiply -3 * -11 -3 + -29a = 33a Solving -3 + -29a = 33a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33a' to each side of the equation. -3 + -29a + -33a = 33a + -33a Combine like terms: -29a + -33a = -62a -3 + -62a = 33a + -33a Combine like terms: 33a + -33a = 0 -3 + -62a = 0 Add '3' to each side of the equation. -3 + 3 + -62a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -62a = 0 + 3 -62a = 0 + 3 Combine like terms: 0 + 3 = 3 -62a = 3 Divide each side by '-62'. a = -0.04838709677 Simplifying a = -0.04838709677
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