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Simplifying 292 = -2a + 6(7a + 2) Reorder the terms: 292 = -2a + 6(2 + 7a) 292 = -2a + (2 * 6 + 7a * 6) 292 = -2a + (12 + 42a) Reorder the terms: 292 = 12 + -2a + 42a Combine like terms: -2a + 42a = 40a 292 = 12 + 40a Solving 292 = 12 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 292 + -40a = 12 + 40a + -40a Combine like terms: 40a + -40a = 0 292 + -40a = 12 + 0 292 + -40a = 12 Add '-292' to each side of the equation. 292 + -292 + -40a = 12 + -292 Combine like terms: 292 + -292 = 0 0 + -40a = 12 + -292 -40a = 12 + -292 Combine like terms: 12 + -292 = -280 -40a = -280 Divide each side by '-40'. a = 7 Simplifying a = 7
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