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Simplifying 4 + -6a + 4a = 1 + -5(7 + -2a) Combine like terms: -6a + 4a = -2a 4 + -2a = 1 + -5(7 + -2a) 4 + -2a = 1 + (7 * -5 + -2a * -5) 4 + -2a = 1 + (-35 + 10a) Combine like terms: 1 + -35 = -34 4 + -2a = -34 + 10a Solving 4 + -2a = -34 + 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. 4 + -2a + -10a = -34 + 10a + -10a Combine like terms: -2a + -10a = -12a 4 + -12a = -34 + 10a + -10a Combine like terms: 10a + -10a = 0 4 + -12a = -34 + 0 4 + -12a = -34 Add '-4' to each side of the equation. 4 + -4 + -12a = -34 + -4 Combine like terms: 4 + -4 = 0 0 + -12a = -34 + -4 -12a = -34 + -4 Combine like terms: -34 + -4 = -38 -12a = -38 Divide each side by '-12'. a = 3.166666667 Simplifying a = 3.166666667
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