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Simplifying -7a + 50 = -6 + -7(6 + 3a) Reorder the terms: 50 + -7a = -6 + -7(6 + 3a) 50 + -7a = -6 + (6 * -7 + 3a * -7) 50 + -7a = -6 + (-42 + -21a) Combine like terms: -6 + -42 = -48 50 + -7a = -48 + -21a Solving 50 + -7a = -48 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 50 + -7a + 21a = -48 + -21a + 21a Combine like terms: -7a + 21a = 14a 50 + 14a = -48 + -21a + 21a Combine like terms: -21a + 21a = 0 50 + 14a = -48 + 0 50 + 14a = -48 Add '-50' to each side of the equation. 50 + -50 + 14a = -48 + -50 Combine like terms: 50 + -50 = 0 0 + 14a = -48 + -50 14a = -48 + -50 Combine like terms: -48 + -50 = -98 14a = -98 Divide each side by '14'. a = -7 Simplifying a = -7
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