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Simplifying -7(4a + 9) = 14a Reorder the terms: -7(9 + 4a) = 14a (9 * -7 + 4a * -7) = 14a (-63 + -28a) = 14a Solving -63 + -28a = 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -63 + -28a + -14a = 14a + -14a Combine like terms: -28a + -14a = -42a -63 + -42a = 14a + -14a Combine like terms: 14a + -14a = 0 -63 + -42a = 0 Add '63' to each side of the equation. -63 + 63 + -42a = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -42a = 0 + 63 -42a = 0 + 63 Combine like terms: 0 + 63 = 63 -42a = 63 Divide each side by '-42'. a = -1.5 Simplifying a = -1.5
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