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Simplifying 2a + -4 = 5(a + 1) + 9a + 4 Reorder the terms: -4 + 2a = 5(a + 1) + 9a + 4 Reorder the terms: -4 + 2a = 5(1 + a) + 9a + 4 -4 + 2a = (1 * 5 + a * 5) + 9a + 4 -4 + 2a = (5 + 5a) + 9a + 4 Reorder the terms: -4 + 2a = 5 + 4 + 5a + 9a Combine like terms: 5 + 4 = 9 -4 + 2a = 9 + 5a + 9a Combine like terms: 5a + 9a = 14a -4 + 2a = 9 + 14a Solving -4 + 2a = 9 + 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. -4 + 2a + -14a = 9 + 14a + -14a Combine like terms: 2a + -14a = -12a -4 + -12a = 9 + 14a + -14a Combine like terms: 14a + -14a = 0 -4 + -12a = 9 + 0 -4 + -12a = 9 Add '4' to each side of the equation. -4 + 4 + -12a = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -12a = 9 + 4 -12a = 9 + 4 Combine like terms: 9 + 4 = 13 -12a = 13 Divide each side by '-12'. a = -1.083333333 Simplifying a = -1.083333333
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