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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 = -36 4 + 2a = -36 + 10a Solving 4 + 2a = -36 + 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 = -36 + 10a + -10a Combine like terms: 2a + -10a = -8a 4 + -8a = -36 + 10a + -10a Combine like terms: 10a + -10a = 0 4 + -8a = -36 + 0 4 + -8a = -36 Add '-4' to each side of the equation. 4 + -4 + -8a = -36 + -4 Combine like terms: 4 + -4 = 0 0 + -8a = -36 + -4 -8a = -36 + -4 Combine like terms: -36 + -4 = -40 -8a = -40 Divide each side by '-8'. a = 5 Simplifying a = 5
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