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Simplifying 3a + -6 = 4(a + 1) + 13a + 7 Reorder the terms: -6 + 3a = 4(a + 1) + 13a + 7 Reorder the terms: -6 + 3a = 4(1 + a) + 13a + 7 -6 + 3a = (1 * 4 + a * 4) + 13a + 7 -6 + 3a = (4 + 4a) + 13a + 7 Reorder the terms: -6 + 3a = 4 + 7 + 4a + 13a Combine like terms: 4 + 7 = 11 -6 + 3a = 11 + 4a + 13a Combine like terms: 4a + 13a = 17a -6 + 3a = 11 + 17a Solving -6 + 3a = 11 + 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. -6 + 3a + -17a = 11 + 17a + -17a Combine like terms: 3a + -17a = -14a -6 + -14a = 11 + 17a + -17a Combine like terms: 17a + -17a = 0 -6 + -14a = 11 + 0 -6 + -14a = 11 Add '6' to each side of the equation. -6 + 6 + -14a = 11 + 6 Combine like terms: -6 + 6 = 0 0 + -14a = 11 + 6 -14a = 11 + 6 Combine like terms: 11 + 6 = 17 -14a = 17 Divide each side by '-14'. a = -1.214285714 Simplifying a = -1.214285714
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