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Simplifying 1 + -6a + 4a = -5(7 + -2a) Combine like terms: -6a + 4a = -2a 1 + -2a = -5(7 + -2a) 1 + -2a = (7 * -5 + -2a * -5) 1 + -2a = (-35 + 10a) Solving 1 + -2a = -35 + 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. 1 + -2a + -10a = -35 + 10a + -10a Combine like terms: -2a + -10a = -12a 1 + -12a = -35 + 10a + -10a Combine like terms: 10a + -10a = 0 1 + -12a = -35 + 0 1 + -12a = -35 Add '-1' to each side of the equation. 1 + -1 + -12a = -35 + -1 Combine like terms: 1 + -1 = 0 0 + -12a = -35 + -1 -12a = -35 + -1 Combine like terms: -35 + -1 = -36 -12a = -36 Divide each side by '-12'. a = 3 Simplifying a = 3
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