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Simplifying -114 = 2a + -4(4 + -3a) -114 = 2a + (4 * -4 + -3a * -4) -114 = 2a + (-16 + 12a) Reorder the terms: -114 = -16 + 2a + 12a Combine like terms: 2a + 12a = 14a -114 = -16 + 14a Solving -114 = -16 + 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. -114 + -14a = -16 + 14a + -14a Combine like terms: 14a + -14a = 0 -114 + -14a = -16 + 0 -114 + -14a = -16 Add '114' to each side of the equation. -114 + 114 + -14a = -16 + 114 Combine like terms: -114 + 114 = 0 0 + -14a = -16 + 114 -14a = -16 + 114 Combine like terms: -16 + 114 = 98 -14a = 98 Divide each side by '-14'. a = -7 Simplifying a = -7
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