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Simplifying 34 + 3a = -7(1 + -1a) + 1 34 + 3a = (1 * -7 + -1a * -7) + 1 34 + 3a = (-7 + 7a) + 1 Reorder the terms: 34 + 3a = -7 + 1 + 7a Combine like terms: -7 + 1 = -6 34 + 3a = -6 + 7a Solving 34 + 3a = -6 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 34 + 3a + -7a = -6 + 7a + -7a Combine like terms: 3a + -7a = -4a 34 + -4a = -6 + 7a + -7a Combine like terms: 7a + -7a = 0 34 + -4a = -6 + 0 34 + -4a = -6 Add '-34' to each side of the equation. 34 + -34 + -4a = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -4a = -6 + -34 -4a = -6 + -34 Combine like terms: -6 + -34 = -40 -4a = -40 Divide each side by '-4'. a = 10 Simplifying a = 10
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