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Simplifying 4a + -9 = 4(a + 1) + 13a + 3 Reorder the terms: -9 + 4a = 4(a + 1) + 13a + 3 Reorder the terms: -9 + 4a = 4(1 + a) + 13a + 3 -9 + 4a = (1 * 4 + a * 4) + 13a + 3 -9 + 4a = (4 + 4a) + 13a + 3 Reorder the terms: -9 + 4a = 4 + 3 + 4a + 13a Combine like terms: 4 + 3 = 7 -9 + 4a = 7 + 4a + 13a Combine like terms: 4a + 13a = 17a -9 + 4a = 7 + 17a Solving -9 + 4a = 7 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. -9 + 4a + -17a = 7 + 17a + -17a Combine like terms: 4a + -17a = -13a -9 + -13a = 7 + 17a + -17a Combine like terms: 17a + -17a = 0 -9 + -13a = 7 + 0 -9 + -13a = 7 Add '9' to each side of the equation. -9 + 9 + -13a = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -13a = 7 + 9 -13a = 7 + 9 Combine like terms: 7 + 9 = 16 -13a = 16 Divide each side by '-13'. a = -1.230769231 Simplifying a = -1.230769231
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