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Simplifying 7(10a + -7) + -2 = 369 Reorder the terms: 7(-7 + 10a) + -2 = 369 (-7 * 7 + 10a * 7) + -2 = 369 (-49 + 70a) + -2 = 369 Reorder the terms: -49 + -2 + 70a = 369 Combine like terms: -49 + -2 = -51 -51 + 70a = 369 Solving -51 + 70a = 369 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 70a = 369 + 51 Combine like terms: -51 + 51 = 0 0 + 70a = 369 + 51 70a = 369 + 51 Combine like terms: 369 + 51 = 420 70a = 420 Divide each side by '70'. a = 6 Simplifying a = 6
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