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Simplifying 3a + -11 = 4(a + 1) + 13a + 3 Reorder the terms: -11 + 3a = 4(a + 1) + 13a + 3 Reorder the terms: -11 + 3a = 4(1 + a) + 13a + 3 -11 + 3a = (1 * 4 + a * 4) + 13a + 3 -11 + 3a = (4 + 4a) + 13a + 3 Reorder the terms: -11 + 3a = 4 + 3 + 4a + 13a Combine like terms: 4 + 3 = 7 -11 + 3a = 7 + 4a + 13a Combine like terms: 4a + 13a = 17a -11 + 3a = 7 + 17a Solving -11 + 3a = 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. -11 + 3a + -17a = 7 + 17a + -17a Combine like terms: 3a + -17a = -14a -11 + -14a = 7 + 17a + -17a Combine like terms: 17a + -17a = 0 -11 + -14a = 7 + 0 -11 + -14a = 7 Add '11' to each side of the equation. -11 + 11 + -14a = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -14a = 7 + 11 -14a = 7 + 11 Combine like terms: 7 + 11 = 18 -14a = 18 Divide each side by '-14'. a = -1.285714286 Simplifying a = -1.285714286
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