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Simplifying 3a + -7 = 3(a + 1) + 11a + 4 Reorder the terms: -7 + 3a = 3(a + 1) + 11a + 4 Reorder the terms: -7 + 3a = 3(1 + a) + 11a + 4 -7 + 3a = (1 * 3 + a * 3) + 11a + 4 -7 + 3a = (3 + 3a) + 11a + 4 Reorder the terms: -7 + 3a = 3 + 4 + 3a + 11a Combine like terms: 3 + 4 = 7 -7 + 3a = 7 + 3a + 11a Combine like terms: 3a + 11a = 14a -7 + 3a = 7 + 14a Solving -7 + 3a = 7 + 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. -7 + 3a + -14a = 7 + 14a + -14a Combine like terms: 3a + -14a = -11a -7 + -11a = 7 + 14a + -14a Combine like terms: 14a + -14a = 0 -7 + -11a = 7 + 0 -7 + -11a = 7 Add '7' to each side of the equation. -7 + 7 + -11a = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -11a = 7 + 7 -11a = 7 + 7 Combine like terms: 7 + 7 = 14 -11a = 14 Divide each side by '-11'. a = -1.272727273 Simplifying a = -1.272727273
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