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Simplifying 7(2a + -9) = 35 + 6a Reorder the terms: 7(-9 + 2a) = 35 + 6a (-9 * 7 + 2a * 7) = 35 + 6a (-63 + 14a) = 35 + 6a Solving -63 + 14a = 35 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -63 + 14a + -6a = 35 + 6a + -6a Combine like terms: 14a + -6a = 8a -63 + 8a = 35 + 6a + -6a Combine like terms: 6a + -6a = 0 -63 + 8a = 35 + 0 -63 + 8a = 35 Add '63' to each side of the equation. -63 + 63 + 8a = 35 + 63 Combine like terms: -63 + 63 = 0 0 + 8a = 35 + 63 8a = 35 + 63 Combine like terms: 35 + 63 = 98 8a = 98 Divide each side by '8'. a = 12.25 Simplifying a = 12.25
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