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Simplifying 7(5a + -2) = 6(6a + -1) Reorder the terms: 7(-2 + 5a) = 6(6a + -1) (-2 * 7 + 5a * 7) = 6(6a + -1) (-14 + 35a) = 6(6a + -1) Reorder the terms: -14 + 35a = 6(-1 + 6a) -14 + 35a = (-1 * 6 + 6a * 6) -14 + 35a = (-6 + 36a) Solving -14 + 35a = -6 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. -14 + 35a + -36a = -6 + 36a + -36a Combine like terms: 35a + -36a = -1a -14 + -1a = -6 + 36a + -36a Combine like terms: 36a + -36a = 0 -14 + -1a = -6 + 0 -14 + -1a = -6 Add '14' to each side of the equation. -14 + 14 + -1a = -6 + 14 Combine like terms: -14 + 14 = 0 0 + -1a = -6 + 14 -1a = -6 + 14 Combine like terms: -6 + 14 = 8 -1a = 8 Divide each side by '-1'. a = -8 Simplifying a = -8
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