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Simplifying -193 = 7 + 5(6a + 2) Reorder the terms: -193 = 7 + 5(2 + 6a) -193 = 7 + (2 * 5 + 6a * 5) -193 = 7 + (10 + 30a) Combine like terms: 7 + 10 = 17 -193 = 17 + 30a Solving -193 = 17 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. -193 + -30a = 17 + 30a + -30a Combine like terms: 30a + -30a = 0 -193 + -30a = 17 + 0 -193 + -30a = 17 Add '193' to each side of the equation. -193 + 193 + -30a = 17 + 193 Combine like terms: -193 + 193 = 0 0 + -30a = 17 + 193 -30a = 17 + 193 Combine like terms: 17 + 193 = 210 -30a = 210 Divide each side by '-30'. a = -7 Simplifying a = -7
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