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Simplifying -7(1 + 3a) = -34 + 6a (1 * -7 + 3a * -7) = -34 + 6a (-7 + -21a) = -34 + 6a Solving -7 + -21a = -34 + 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. -7 + -21a + -6a = -34 + 6a + -6a Combine like terms: -21a + -6a = -27a -7 + -27a = -34 + 6a + -6a Combine like terms: 6a + -6a = 0 -7 + -27a = -34 + 0 -7 + -27a = -34 Add '7' to each side of the equation. -7 + 7 + -27a = -34 + 7 Combine like terms: -7 + 7 = 0 0 + -27a = -34 + 7 -27a = -34 + 7 Combine like terms: -34 + 7 = -27 -27a = -27 Divide each side by '-27'. a = 1 Simplifying a = 1
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